## Introduction

Prof Yong Hong Wu is one of the six Curtin Professors listed among the World’s **Highly Cited Researchers** by Clarivate Analytics Web of Science in 2018. His research covers a wide range of areas including Applied Mathematics, Numerical and Computational Mathematics and their applications in science and engineering. Professor Wu has made many important fundamental contributions in his research areas, has supervised 26 PhD students to completion, and has won more than ten national competitive research grants including two current ARC project grants.

**Teaching**

Calculus 2, Vector Calculus, Applied Mathematical Modelling (half unit), YSU Numerical Computing, Mathematics Masters Project 1, Mathematics Masters Project 2, Mathematics Masters Project 3.

**PhD Supervision **

Currently I supervise 8 PhD students (Supervisor for 5 and Co-supervisor for 3)

**Current Research Grants**

(other CIs: Wiwatanapataphee, Mahamed)

**Research Interest**

#### Post Nominals

PhD (Wollongong)

## Publications

#### 2021

- Zhang, X., L. Liu, and Y. Wu.. "New fixed point theorems for the sum of two mixed monotone operators of Meirâ€“Keeler type and their applications to nonlinear elastic beam equations." Journal of Fixed Point Theory and Applications 23 (1). Inpress.

#### 2020

- Zhang, Y., and Y. Wu. 2020. "Asset liability management for an ordinary insurance system with proportional reinsurance in a cir stochastic interest rate and heston stochastic volatility framework." Journal of Industrial and Management Optimization 16 (1): 71-101.
- Wang, C. Y., X. Zhang, and Y. Wu. 2020. "New results on single axioms for L-fuzzy rough approximation operators." Fuzzy Sets and Systems 380: 131-149.
- Zhang, X., J. Jiang, Y. Wu, and Y. Cui. 2020. "The existence and nonexistence of entire large solutions for a quasilinear SchrÃ¶dinger elliptic system by dual approach." Applied Mathematics Letters 100
- Zhang, X., J. Xu, J. Jiang, Y. Wu, and Y. Cui. 2020. "The convergence analysis and uniqueness of blow-up solutions for a Dirichlet problem of the general k-Hessian equations." Applied Mathematics Letters 102
- Zhang, X., L. Liu, Y. Wu, and Y. Cui. 2020. "A sufficient and necessary condition of existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator." Nonlinear Analysis: Modelling and Control 25 (1): 126-143.
- Xu, F., M. Chi, L. Liu, and Y. Wu. 2020. "On the well-posedness and decay rates of strong solutions to a multi-dimensional non-conservative viscous compressible two-fluid system." Discrete and Continuous Dynamical Systems- Series A 40 (5): 2515-2559.
- Li, D., F. Chen, Y. Wu, and Y. An. 2020. "Multiple solutions for a class of p-Laplacian type fractional boundary value problems with instantaneous and non-instantaneous impulses." Applied Mathematics Letters 106
- Wang, F., L. Liu, and Y. Wu. 2020. "A numerical algorithm for a class of fractional BVPs with p-Laplacian operator and singularity-the convergence and dependence analysis." Applied Mathematics and Computation 382
- Lai, C., R. Li, and Y. Wu. 2020. "Optimal compensation and investment affected by firm size and time-varying external factors." Annals of Finance 16 (3): 407-422.
- Liu, W., L. Liu, and Y. Wu. 2020. "Existence of solutions for integral boundary value problems of singular Hadamard-type fractional differential equations on infinite interval." Advances in Difference Equations 2020 (1)
- Yang, Y., Y. Wu, and B. Wiwatanapataphee. 2020. "Time-consistent meanâ€“variance asset-liability management in a regime-switching jump-diffusion market." Financial Markets and Portfolio Management 34 (4): 401-427.
- Wang, F., L. Liu, and Y. Wu. 2020. "Existence and uniqueness of solutions for a class of higher-order fractional boundary value problems with the nonlinear term satisfying some inequalities." Journal of Inequalities and Applications 2020 (1)
- Kong, D., L. Liu, and Y. Wu. 2020. "Isotonicity of the proximity operator and mixed variational inequalities in Hilbert spaces." Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas 114 (4)
- Liu, L., D. Min, and Y. Wu. 2020. "Existence and multiplicity of positive solutions for a new class of singular higher-order fractional differential equations with Riemannâ€“Stieltjes integral boundary value conditions." Advances in Difference Equations 2020 (1)
- Zhang, X., L. Yu, J. Jiang, Y. Wu, and Y. Cui. 2020. "Positive Solutions for a Weakly Singular Hadamard-Type Fractional Differential Equation with Changing-Sign Nonlinearity." Journal of Function Spaces 2020
- Zhang, Y., and Y. Wu. 2020. "Optimal Health Insurance and Trade-Off between Health and Wealth." Journal of Applied Mathematics 2020
- Kong, D., L. Liu, and Y. Wu. 2020. "Isotonicity of Proximity Operators in General Quasi-Lattices and Optimization Problems." Journal of Optimization Theory and Applications 187 (1): 88-104.
- Zhang, X., J. Jiang, L. Liu, and Y. Wu. 2020. "Extremal Solutions for a Class of Tempered Fractional Turbulent Flow Equations in a Porous Medium." Mathematical Problems in Engineering 2020
- Zhang, X., L. Yu, J. Jiang, Y. Wu, and Y. Cui. 2020. "Solutions for a Singular Hadamard-Type Fractional Differential Equation by the Spectral Construct Analysis." Journal of Function Spaces 2020
- Wang, Y., and Y. Wu. 2020. "Positive solutions of fractional differential equation boundary value problems at resonance." Journal of Applied Analysis and Computation 10 (6): 2459-2475.
- Chen, J., M. B. Hu, Y. H. Wu, and M. Li. 2020. "Traffic-induced epidemic suppression in multiplex networks." Journal of Statistical Mechanics: Theory and Experiment 2020 (11)

#### 2019

- Sun, F., L. Liu, and Y. Wu. 2019. "Blow-up of solutions for a nonlinear viscoelastic wave equation with initial data at arbitrary energy level." Applicable Analysis 98 (12): 2308-2327.
- Liu, L., F. Sun, and Y. Wu. 2019. "Blow-up of solutions for a nonlinear Petrovsky type equation with initial data at arbitrary high energy level." Boundary Value Problems 2019 (1)
- Zhang, X., J. Jiang, Y. Wu, and Y. Cui. 2019. "Existence and asymptotic properties of solutions for a nonlinear SchrÃ¶dinger elliptic equation from geophysical fluid flows." Applied Mathematics Letters 90: 229-237.
- Kong, X., P. Wang, and Y. Wu. 2019. "The product of quasi-ideal refined generalised quasi-adequate transversals." Open Mathematics 17 (1): 43-51.
- Liu, S., Y. Zhou, Y. Wu, and X. Ge. 2019. "Option Pricing under the Jump Diffusion and Multifactor Stochastic Processes." Journal of Function Spaces 2019
- Ma, D., L. Liu, and Y. Wu. 2019. "Existence of nontrivial solutions for a system of fractional advectionâ€“dispersion equations." Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales - Serie A: Matematicas 113 (2): 1041-1057.
- Sun, F. L., C. Y. Dong, Y. H. Wu, and Y. P. Gong. 2019. "Fast direct isogeometric boundary element method for 3D potential problems based on HODLR matrix." Applied Mathematics and Computation 359: 17-33.
- Zhang, X., L. Liu, Y. Wu, and L. Wang. 2019. "Recent Advance in Function Spaces and Their Applications in Fractional Differential Equations." Journal of Function Spaces 2019
- Wiwatanapataphee, D., N. Khajohnsaksumeth, and Y. H. Wu. 2019. "Effect of beam joinery on bridge structural stability." Advances in Difference Equations 2019 (1)
- He, J., X. Zhang, L. Liu, Y. Wu, and Y. Cui. 2019. "A singular fractional Kelvinâ€“Voigt model involving a nonlinear operator and their convergence properties." Boundary Value Problems 2019 (1)
- Phewchean, N., and Y. Wu. 2019. "European option pricing model with generalized Ornsteinâ€“Uhlenbeck process under stochastic earning yield and stochastic dividend yield." Advances in Difference Equations 2019 (1)
- Wang, F., L. Liu, and Y. Wu. 2019. "Iterative unique positive solutions for a new class of nonlinear singular higher order fractional differential equations with mixed-type boundary value conditions." Journal of Inequalities and Applications 2019 (1)
- Wiwatanapataphee, B., W. Sawangtong, N. Khajohnsaksumeth, and Y. H. Wu. 2019. "Oscillating pressure-driven slip flow and heat transfer through an elliptical microchannel." Advances in Difference Equations 2019 (1)
- Guo, L., L. Liu, Y. Wu, and Y. Zou. 2019. "Blow-up and global solutions for some parabolic systems under nonlinear boundary conditions." Journal of the Korean Mathematical Society 56 (4): 1017-1029.
- Wang, F., L. Liu, Y. Wu, and Y. Zou. 2019. "Iterative Analysis of the Unique Positive Solution for a Class of Singular Nonlinear Boundary Value Problems Involving Two Types of Fractional Derivatives with p-Laplacian Operator." Complexity 2019

#### 2018

- Liu, S., Y. Zhou, B. Wiwatanapataphee, Y. Wu, and X. Ge. 2018. "The study of utility valuation of single-name credit derivatives with the fast-scale stochastic volatility correction." Sustainability (Switzerland) 10 (4)
- He, J., X. Zhang, L. Liu, and Y. Wu. 2018. "Existence and nonexistence of radial solutions of the dirichlet problem for a class of general k-Hessian equations." Nonlinear Analysis: Modelling and Control 23 (4): 475-492.
- Zhang, X., L. Liu, Y. Wu, and Y. Zou. 2018. "Existence and uniqueness of solutions for systems of fractional differential equations with Riemannâ€“Stieltjes integral boundary condition." Advances in Difference Equations 2018 (1)
- Sun, F., L. Liu, and Y. Wu. 2018. "Finite time blow-up for a thin-film equation with initial data at arbitrary energy level." Journal of Mathematical Analysis and Applications 458 (1): 9-20.
- Sun, F., L. Liu, and Y. Wu. 2018. "Finite time blow-up for a class of parabolic or pseudo-parabolic equations." Computers and Mathematics with Applications 75 (10): 3685-3701.
- LI, R., C. LAI, and Y. WU. 2018. "Global weak solutions to a generalized Benjamin-Bona-Mahony-Burgers equation." Acta Mathematica Scientia 38 (3): 915-925.
- Ma, D., L. Liu, and Y. Wu. 2018. "Nontrivial Weak Solution for a SchrÃ¶dingerâ€“Kirchhoff-Type System Driven by a (p1, p2) -Laplacian Operator." Bulletin of the Iranian Mathematical Society 44 (1): 237-252.
- Guo, L., L. Liu, and Y. Wu. 2018. "Iterative unique positive solutions for singular p-Laplacian fractional differential equation system with several parameters." Nonlinear Analysis: Modelling And Control 23 (2): 182-203.
- Liu, X., L. Liu, and Y. Wu. 2018. "Existence of positive solutions for a singular nonlinear fractional differential equation with integral boundary conditions involving fractional derivatives." Boundary Value Problems 2018 (1)
- Min, D., L. Liu, and Y. Wu. 2018. "Uniqueness of positive solutions for the singular fractional differential equations involving integral boundary value conditions." Boundary Value Problems 2018 (1)
- Wu, J., X. Zhang, L. Liu, Y. Wu, and Y. Cui. 2018. "The convergence analysis and error estimation for unique solution of a p-Laplacian fractional differential equation with singular decreasing nonlinearity." Boundary Value Problems 2018 (1)
- Zhang, X., Y. Wu, L. Liu, and H. Su. 2018. "Recent Development on Nonlinear Methods in Function Spaces and Applications in Nonlinear Fractional Differential Equations." Journal of Function Spaces 2018
- Zhang, X., L. Liu, Y. Wu, and Y. Cui. 2018. "The existence and nonexistence of entire large solutions for a quasilinear SchrÃ¶dinger elliptic system by dual approach." Journal of Mathematical Analysis and Applications 464 (2): 1089-1106.
- Chi, M., F. Xu, and Y. Wu. 2018. "A logarithmic improvement of regularity criterion for the MHD equations in terms of the pressure." Applied Mathematics and Computation 327: 46-54.
- Zhang, X., Y. Wu, and Y. Cui. 2018. "Existence and nonexistence of blow-up solutions for a SchrÃ¶dinger equation involving a nonlinear operator." Applied Mathematics Letters 82: 85-91.
- Zhu, B., L. Liu, and Y. Wu.. "Existence and uniqueness of global mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay." Computers and Mathematics with Applications - Inpress.
- Kong, D., L. Liu, and Y. Wu.. "Optimal reinsurance under risk and uncertainty on Orlicz hearts." Insurance: Mathematics and Economics - Inpress.
- Sun, F., L. Liu, and Y. Wu.. "Global existence and finite time blow-up of solutions for the semilinear pseudo-parabolic equation with a memory term." Applicable Analysis - Inpress.
- Gong, Z., C. Liu, M. Han, K. L. Teo, and Y. Wu. 2018. "Robust time-delay estimation for nonlinear systems using inexact output."
- Zhou, Y., X. Ge, Y. Wu, and T. Tian. 2018. "Inference of Term Structure Models."
- Zhang, X., L. Liu, Y. Wu, and Y. Cui. 2018. "Existence of infinitely solutions for a modified nonlinear SchrÃ¶dinger equation via dual approach." Electronic Journal of Differential Equations 2018
- Wu, J., X. Zhang, L. Liu, Y. Wu, and Y. Cui. 2018. "Convergence analysis of iterative scheme and error estimation of positive solution for a fractional differential equation." Mathematical Modelling and Analysis 23 (4): 611-626.
- He, J., X. Zhang, L. Liu, Y. Wu, and Y. Cui. 2018. "Existence and asymptotic analysis of positive solutions for a singular fractional differential equation with nonlocal boundary conditions." Boundary Value Problems 2018 (1)
- Jiang, J., L. Liu, and Y. Wu. 2018. "Existence of symmetric positive solutions for a singular system with coupled integral boundary conditions." Electronic Journal of Qualitative Theory of Differential Equations 2018

#### 2017

- Zhu, B., L. Liu, and Y. Wu. 2017. "Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations." Fractional Calculus and Applied Analysis 20 (6): 1338-1355.
- YANG, L., X. LI, Y. WU, and L. CACCETTA. 2017. "Global well-posedness and blow-up for the Hartree equation." Acta Mathematica Scientia 37 (4): 941-948.
- Zhang, X., C. Mao, L. Liu, and Y. Wu. 2017. "Exact Iterative Solution for an Abstract Fractional Dynamic System Model for Bioprocess." Qualitative Theory Of Dynamical Systems 16 (1): 205-222.
- Zhang, X., L. Liu, Y. Wu, and Y. Cui. 2017. "Entire blow-up solutions for a quasilinear p-Laplacian SchrÃ¶dinger equation with a non-square diffusion term." Applied Mathematics Letters 74: 85-93.
- Sun, Y., L. Liu, and Y. Wu. 2017. "The existence and uniqueness of positive monotone solutions for a class of nonlinear SchrÃ¶dinger equations on infinite domains." Journal Of Computational And Applied Mathematics 321: 478-486.
- Zhang, X., L. Liu, Y. Wu, and B. Wiwatanapataphee. 2017. "Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion." Applied Mathematics Letters 66: 1-8.
- Zhang, X., L. Liu, Y. Wu, and Y. Cui. 2017. "New Result on the Critical Exponent for Solution of an Ordinary Fractional Differential Problem." Journal Of Function Spaces 2017
- Gu, Y., N. Aminakbari, W. Yuan, and Y. Wu. 2017. "Meromorphic solutions of a class of algebraic differential equations related to PainlevÃ© equation III." Houston Journal of Mathematics 43 (4): 1045-1055.
- Xu, F., X. Li, Y. Cui, and Y. Wu. 2017. "A scaling invariant regularity criterion for the 3D incompressible magneto-hydrodynamics equations." Zeitschrift fur Angewandte Mathematik und Physik 68 (6)
- Jiang, Y., and Y. Wu. 2017. "On the 2-dimensional dual Minkowski problem." Journal Of Differential Equations 263 (6): 3230-3243.
- Zhang, Y., Y. Wu, S. Li, and B. Wiwatanapataphee. 2017. "Mean-Variance Asset Liability Management with State-Dependent Risk Aversion." North American Actuarial Journal 21 (1): 87-106.
- Phang, P., B. Wiwatanapataphee, and Y. H. Wu. 2017. "Population game model for epidemic dynamics with two classes of vaccine-induced immunity." Journal Of Telecommunication, Electronic And Computer Engineering 9 (2-9): 31-36.
- Phang, P., B. Wiwatanapataphee, and Y. H. Wu. 2017. "Social and economic influences on human behavioural response in an emerging epidemic." In The Asian Mathematical Conference 2016 (AMC 2016), Jul 25, 2016, Bali, Indonesia
- Kong, D., L. Liu, and Y. Wu. 2017. "Isotonicity of the metric projection with applications to variational inequalities and fixed point theory in Banach spaces." Journal of Fixed Point Theory and Applications 19: 1889-1903.
- Wang, F., D. Chen, X. Zhang, and Y. Wu. 2017. "Finite-time stability of a class of nonlinear fractional-order system with the discrete time delay." International Journal of Systems Science 48 (5): 984-993.
- Sun, F., L. Liu, and Y. Wu. 2017. "Infinitely many sign-changing solutions for a class of biharmonic equation with p-Laplacian and Neumann boundary condition." Applied Mathematics Letters 73: 128-135.
- Xu, B., D. Chen, H. Zhang, F. Wang, X. Zhang, and Y. Wu. 2017. "Hamiltonian model and dynamic analyses for a hydro-turbine governing system with fractional item and time-lag." Communications In Nonlinear Science And Numerical Simulation 47: 35-47.
- Li, S., Y. Zhou, Y. Wu, and X. Ge. 2017. "Equilibrium approach of asset and option pricing under LÃ©vy process and stochastic volatility." Australian Journal Of Management 42 (2): 276-295.
- Wei, N., X. Ge, Y. Wu, and L. Zhao. 2017. "L p Estimates for Weak Solutions to Nonlinear Degenerate Parabolic Systems." Discrete Dynamics In Nature And Society 2017
- Li, Z., D. Chen, M. Ma, X. Zhang, and Y. Wu. 2017. "Feigenbaum's constants in reverse bifurcation of fractional-order RÃ¶ssler system." Chaos, Solitons And Fractals 99: 116-123.
- Kong, D., L. Liu, and Y. Wu. 2017. "Isotonicity of the Metric Projection by Lorentz Cone and Variational Inequalities." Journal Of Optimization Theory And Applications 173 (1): 117-130.
- Kong, D., L. Liu, and Y. Wu. 2017. "Isotonicity of the Metric Projection and Complementarity Problems in Hilbert Spaces." Journal Of Optimization Theory And Applications 175 (2): 341-355.
- Tang, C., and Y. Wu. 2017. "Global exponential stability of nonresident computer virus models." Nonlinear Analysis: Real World Applications 34: 149-158.
- Guo, Y., Y. Wu, S. Lai, and L. Caccetta. 2017. "The global weak solution for the shallow water wave model of moderate amplitude." Applicable Analysis 96 (4): 663-678.
- Xu, F., X. Zhang, Y. Wu, and L. Liu. 2017. "Global Existence and the Optimal Decay Rates for the Three Dimensional Compressible Nematic Liquid Crystal Flow." Acta Applicandae Mathematicae 150 (1): 67-80.
- Liu, L., F. Sun, X. Zhang, and Y. Wu. 2017. "Bifurcation analysis for a singular differential system with two parameters via to topological degree theory." Nonlinear Analysis: Modelling And Control 22 (1): 31-50.

#### 2016

- Liu, L., X. Zhang, J. Jiang, and Y. Wu. 2016. "The unique solution of a class of sum mixed monotone operator equations and its application to fractional boundary value problems." Journal of Nonlinear Science and Applications 9 (5): 2943-2958.
- Guo, L., L. Liu, and Y. Wu. 2016. "Uniqueness of iterative positive solutions for the singular fractional differential equations with integral boundary conditions." Boundary Value Problems 2016 (1)
- Zhang, X., L. Liu, and Y. Wu. 2016. "The entire large solutions for a quasilinear SchrÃ¶dinger elliptic equation by the dual approach." Applied Mathematics Letters 55: 1-9.
- Sun, F., L. Liu, X. Zhang, and Y. Wu. 2016. "Spectral Analysis for a Singular Differential System with Integral Boundary Conditions." Mediterranean Journal of Mathematics 13 (6): 4763-4782.
- Guo, L., L. Liu, and Y. Wu. 2016. "Existence of positive solutions for singular higher-order fractional differential equations with infinite-point boundary conditions." Boundary Value Problems 2016 (1)
- Guo, L., L. Liu, and Y. Wu. 2016. "Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions." Nonlinear Analysis: Modelling and Control 21 (5): 635-650.
- Yuan, W., F. Meng, J. Lin, and Y. Wu. 2016. "All meromorphic solutions of an ordinary differential equation and its applications." Mathematical Methods in the Applied Sciences 39 (8): 2083-2092.
- Wang, F. F., D. Y. Chen, X. G. Zhang, and Y. Wu. 2016. "The existence and uniqueness theorem of the solution to a class of nonlinear fractional order system with time delay." Applied Mathematics Letters 53: 45-51.
- Guo, Y., Y. Wu, and S. Lai. 2016. "On weak solutions to a shallow water wave model of moderate amplitude." Applicable Analysis 95 (8): 1808-1829.
- Xie, G., Y. H. Wu, S. Nardini, B. Wiwatanapataphee, N. Gui, and Y. Zhao. 2016. "Advanced approaches of modeling and measurement for turbulence and heat transfer." Advances in Mechanical Engineering 8 (8): 1-2.
- Wu, J., X. Zhang, L. Liu, Y. Wu, and B. Wiwatanapataphee. 2016. "Iterative algorithm and estimation of solution for a fractional order differential equation." Boundary Value Problems 2016 (1)
- Zhang, X., L. Liu, and Y. Wu. 2016. "Fixed point theorems for the sum of three classes of mixed monotone operators and applications." Fixed Point Theory and Applications 2016 (49)
- Zhu, B., L. Liu, and Y. Wu. 2016. "Local and global existence of mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay." Applied Mathematics Letters 61: 73-79.
- Liu, L., C. Liu, F. Wang, and Y. Wu. 2016. "Strong convergence of a general iterative algorithm for asymptotically nonexpansive semigroups in Banach spaces." Journal of Nonlinear Science and Applications 9 (10): 5695-5711.
- Li, S., C. Luong, F. Angkola, and Y. Wu. 2016. "Optimal asset portfolio with stochastic volatility under the mean-variance utility with state-dependent risk aversion." Journal of Industrial and Management Optimization 12 (4): 1521-1533.
- Wu, J., X. Zhang, L. Liu, and Y. Wu. 2016. "Twin iterative solutions for a fractional differential turbulent flow model." Boundary Value Problems: 98
- Wei, N., Y. Jiang, and Y. Wu. 2016. "Partial schauder estimates for a sub-elliptic equation." Acta Mathematica Scientia 36B (3): 945-956.
- Zhang, J., X. Li, Y. Wu, and L. Caccetta. 2016. "Stability of standing waves for the Kleinâ€“Gordonâ€“Hartree equation." Applicable Analysis 95 (5): 1000-1012.
- Xu, F. Y., X. G. Zhang, Y. H. Wu, and L. Caccetta. 2016. "Global well-posedness of the non-isentropic full compressible magnetohydrodynamic equations." Acta Mathematica Sinica, English Series 32 (2): 227-250.
- Xu, F., X. Zhang, Y. Wu, and L. Liu. 2016. "Global existence and temporal decay for the 3D compressible Hall-magnetohydrodynamic system." Journal of Mathematical Analysis and Applications 438 (1): 285-310.
- Xu, F., X. Zhang, Y. Wu, and L. Liu. 2016. "The optimal convergence rates for the multi-dimensional compressible viscoelastic flows." ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik 96 (12): 1490-1504.
- He, J., X. Zhang, and Y. Wu. 2016. "Existence of positive solution for a fractional order nonlinear differential system involving a changing sign perturbation." Journal of Nonlinear Science and Applications 9 (5): 2076-2085.
- Liu, L., X. Zhang, L. Liu, and Y. Wu. 2016. "Iterative positive solutions for singular nonlinear fractional differential equation with integral boundary conditions." Advances in Difference Equations 2016 (1)
- Li, H., D. Chen, X. Zhang, and Y. Wu. 2016. "Dynamic analysis and modelling of a Francis hydro-energy generation system in the load rejection transient." IET Renewable Power Generation 10 (8): 1140-1148.
- Hao, X., L. Liu, and Y. Wu. 2016. "Iterative solution for nonlinear impulsive advection- reaction-diffusion equations." Journal of Nonlinear Science and Applications 9 (6): 4070-4077.
- Hao, X., L. Liu, and Y. Wu. 2016. "Positive solutions for nonlinear fractional semipositone differential equation with nonlocal boundary conditions." Journal of Nonlinear Science and Applications 9 (6): 3992-4002.
- Hao, X., L. Liu, and Y. Wu. 2016. "Mild solutions of impulsive semilinear neutral evolution equations in Banach spaces." Journal of Nonlinear Science and Applications 9 (12): 6183-6194.

#### 2015

- Zhang, X., L. Liu, Y. Wu, and B. Wiwatanapataphee. 2015. "The spectral analysis for a singular fractional differential equation with a signed measure." Applied Mathematics & Computation 257: 252-263.
- Zhang, X., L. Liu, Y. Wu, and L. Caccetta. 2015. "Entire large solutions for a class of SchrÃ¶dinger systems with a nonlinear random operator." Journal of Mathematical Analysis and Applications 423: 1650-1659.
- Wang, Y., L. Liu, and Y. Wu. 2015. "Extremal solutions for p-Laplacian fractional integro-differential equation with integral conditions on infinite intervals via iterative computation." Advances in Difference Equations 24
- Li, H., L. Liu, and Y. Wu. 2015. "Positive solutions for singular nonlinear fractional differential equation with integral boundary conditions." Boundary Value Problems 2015 (1)
- Liu, L. S., D. Z. Kong, and Y. H. Wu. 2015. "The best approximation theorems and variational inequalities for discontinuous mappings in Banach spaces." Science China Mathematics 58 (12): 2581-2592.
- Hao, X., L. Liu, and Y. Wu. 2015. "Iterative solution to singular nth-order nonlocal boundary value problems." Boundary Value Problems 2015
- Yuan, W., W. Xiong, J. Lin, and Y. Wu. 2015. "All meromorphic solutions of an auxiliary ordinary differential equation and its applications." Acta Mathematica Scientia 35B (5): 1241-1250.
- Tang, T. Q., L. Chen, Y. Wu, and L. Caccetta. 2015. "A macro traffic flow model accounting for real-time traffic state." Physica A 437: 55-67.
- Meng, F., L. Zhang, Y. Wu, and W. Yuan. 2015. "All traveling wave exact solutions of three kinds of nonlinear evolution equations." Mathematical Methods in the Applied Sciences 38: 3678-3688.
- Wang, Y., L. Liu, X. Zhang, and Y. Wu. 2015. "Positive solutions of an abstract fractional semipositone differential system model for bioprocesses of HIV infection." Applied Mathematics & Computation 258: 312-324.
- Wang, P., Z. Li, and Y. Wu. 2015. "Rapid Convergence of Solution for Hybrid System with Causal Operators." Mathematical Problems in Engineering 2015
- Aruchunan, E., Y. Wu, B. Wiwatanapataphee, and P. Jitsangiam. 2015. "A new variant of arithmetic mean iterative method for fourth order integro-differential equations solution." In 015 Third International Conference on Artificial Intelligence, Modelling and Simulation 978-1-4673-8675-3/15 $31.00 Â© 2015 IEEE DOI 10.1109/AIMS.2015.24 82 2015 3rd International Conference on Artificial Intelligence, Modelling and Simu, Dec 2, 2015, Kota Kinabalu, Malaysia
- Tang, T. Q., H. J. Huang, W. X. Wu, and Y. Wu. 2015. "Analyzing trip cost with no late arrival under car-following model." Measurement 64: 123-129.
- Yuan, W., F. Meng, Y. Huang, and Y. Wu. 2015. "All traveling wave exact solutions of the variant Boussinesq equations." Applied Mathematics and Computation 268: 865-872.
- Lin, Q., R. Loxton, K. L. Teo, and Y. H. Wu. 2015. "Optimal control problems with stopping constraints." Journal of Global Optimization 63: 835-861.
- Zhang, X., Y. Wu, and L. Caccetta. 2015. "Nonlocal fractional order differential equations with changing-sign singular perturbation." Applied Mathematical Modelling 39 (21): 6543-6552.
- Kong, D., L. Liu, and Y. Wu. 2015. "The best approximation theorems and fixed point theorems for discontinuous increasing mappings in Banach spaces." Abstract and Applied Analysis 2015
- Kong, D., L. Liu, and Y. Wu. 2015. "Best proximity point theorems for Î±-nonexpansive mappings in Banach spaces." Fixed Point Theory and Applications 2015:159 (1)

#### 2014

- Wu, J., X. Zhang, L. Liu, and Y. Wu. 2014. "Positive solution of singular fractional differential system with nonlocal boundary conditions." Advances in Difference Equations 323
- Zhang, X., L. Liu, and Y. Wu. 2014. "Variational structure and multiple solutions for a fractional advection-dispersion equation." Computers and Mathematics with Applications 68: 1794-1805.
- Zhang, X., L. Liu, and Y. Wu. 2014. "The uniqueness of positive solution for a fractional order model of turbulent flow in a porous medium." Applied Mathematics Letters 37: 26-33.
- Kong, D., L. Liu, and Y. Wu. 2014. "Best approximation and fixed-point theorems for discontinuous increasing maps in Banach lattices." Fixed Point Theory and Applications 18: 1-10.
- Zhang, X., L. Liu, B. Wiwatanapataphee, and Y. Wu. 2014. "The eigenvalue for a class of singular p-laplacian fractional differential equations involving the riemann-stieltjes integral boundary condition." Applied Mathematics and Computations 235: 412-422.
- Tang, T. Q., L. Caccetta, Y. H. Wu, H. J. Huang, and X. B. Yang. 2014. "A macro model for traffic flow on road networks with varying road conditions." Journal of Advanced Transportation 48: 304-317.
- Yuan, W., B. Xiao, Y. Wu, and J. Qi. 2014. "The general traveling wave solutions of the Fisher type equations and some related problems." Journal Of Inequalities And Applications 2014 (1)
- Wang, Y., L. Liu, and Y. Wu. 2014. "Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters." Advances In Difference Equations 2014 (1)
- Tang, T. Q., J. He, Y. H. Wu, and L. Caccetta. 2014. "Propagating properties of traffic flow on a ring road without ramp." Physica A 396: 164-172.
- Wiwatanapataphee, B., Y. H. Wu, and S. Suharsono. 2014. "Transient Flows of Newtonian Fluid through a Rectangular Microchannel with Slip Boundary." Abstract and Applied Analysis 2014: 1-14.
- Wu, Y. H., L. Liu, B. D. Wiwatanapataphee, and S. Lai. 2014. "Nonlinear functional analysis of boundary value problems 2013." Abstract and Applied Analysis 2014
- Sun, Q., Y. Wu, L. Liu, and B. Wiwatanapataphee. 2014. "Solution of time periodic electroosmosis flow with slip boundary." Abstract And Applied Analysis 2014
- Wiwatanapataphee, B., Y. Wu, I. M. Tang, and S. Lai. 2014. "Fluid dynamics and computational engineering." Mathematical Problems in Engineering 2014
- Phang, C., Y. H. Wu, and B. Wiwatanapataphee. 2014. "Analytical solution for the spread of epidemic diseases in community clustered network." International Journal Of Pure And Applied Mathematics 94 (2): 133-154.
- Huang, Y., Y. Wu, F. Meng, and W. Yuan. 2014. "All exact traveling wave solutions of the combined KdV-mKdV equation." Advances In Difference Equations 2014 (1)
- Huang, Y., W. Yuan, and Y. Wu. 2014. "All traveling wave exact solutions of two kinds of nonlinear evolution equations." Applied Mathematics and Computations 235: 148-156.
- Zhang, X., C. Mao, Y. Wu, and H. Su. 2014. "Positive Solutions of a Singular Nonlocal Fractional Order Differential System via Schauder's Fixed Point Theorem." Abstract and Applied Analysis 2014: 1-8.
- Li, X. G., J. Zhang, and Y. H. Wu. 2014. "Instability of Standing Wave for the Klein-Gordon-Hartree Equation." Acta Mathematica Sinica, English Series 30 (5): 861-871.
- Tian, T., Y. Zhou, Y. Wu, and X. Ge. 2014. "Estimation of parameters in mean-reverting stochastic systems." Mathematical Problems in Engineering 2014
- Lin, Q., R. Loxton, K. L. Teo, Y. H. Wu, and C. Yu. 2014. "A new exact penalty method for semi-infinite programming problems." Journal of Computational and Applied Mathematics 261: 271-286.
- Lin, Q., R. Loxton, K. L. Teo, and Y. H. Wu. 2014. "Optimal feedback control for dynamic systems with state constraints: An exact penalty approach." Optimization Letters 8 (4): 1535-1551.
- Li, X., J. Zhang, S. Lai, and Y. Wu. 2014. "On the blow-up phenomenon for a generalized Davey-Stewartson system." IMA Journal of Applied Mathematics 79 (2): 326-346.
- Wu, J., L. Liu, X. Zhang, and Y. Wu. 2014. "Positive Solutions for (n - 1, 1)-Type Singular Fractional Differential System with Coupled Integral Boundary Conditions." Abstract and Applied Analysis 2014
- Zhang, X., Y. H. Wu, D. P. Covei, and X. Hao. 2014. "Complex Boundary Value Problems of Nonlinear Differential Equations 2014." Abstract and Applied Analysis 2014: 1-4.
- Wang, Y., L. Liu, and Y. Wu. 2014. "Positive solutions for singular semipositone boundary value problems on infinite intervals." Applied Mathematics and Computations 227: 256-273.
- Xu, F., J. Yuan, and Y. Wu. 2014. "Global well-posedness for the 2D fluid system with the linear Soret effect and Yudovich's type data." Journal of Mathematical Analysis and Applications 422 (2): 940-959.
- Yuan, W., Y. Wu, Q. Chen, and Y. Huang. 2014. "All meromorphic solutions for two forms of odd order algebraic differential equations and its applications." Applied Mathematics and Computation 240: 240-251.
- Liu, Q. Y., G. C. Yang, M. B. Hu, R. Jiang, Q. S. Wu, and Y. H. Wu. 2014. "Optimization of granular chute flow with two bottlenecks." In 2013 International Conference on Mechanical Structures and Smart Materials (ICMSSM2013),, Nov 16, 2013, Xiamen, China: Trans Tech Publications.
- Zhang, F., H. Yang, and Y. Wu. 2014. "Global Conservative Solutions of a Generalized Two-Component Camassa-Holm System." Journal of Applied Mathematics 2014
- Ming, S., H. Yang, and Y. Wu. 2014. "The Cauchy Problem for a Weakly Dissipative 2-Component Camassa-Holm System." Mathematical Problems in Engineering 2014

#### 2013

- Jiang, J., L. Liu, and Y. Wu. 2013. "Symmetric positive solutions to singular system with multi-point coupled boundary conditions." Applied Mathematics and Computations 220: 536-548.
- Jiang, J., L. Liu, and Y. Wu. 2013. "Positive Solutions to Singular Fractional Differential System with Coupled Boundary Conditions." Communications in Nonlinear Science and Numerical Simulation 18 (11): 3061-3074.
- Zhang, X., L. Liu, and Y. Wu. 2013. "The Uniqueness of Positive Solution for a Singular Fractional Differential System Involving Derivatives." Communications in Nonlinear Science and Numerical Simulation 18 (6): 1400-1409.
- Zhang, X., L. Liu, Y. Wu, and Y. Lu. 2013. "The iterative solutions of nonlinear fractional differential equations." Applied Mathematics and Computations 219: 4680-4691.
- Wang, P., M. Wu, and Y. Wu. 2013. "On f0-stability of a class of singular difference equations." Advances in Difference Equations 2013 (179)
- Liu, L., X. Hao, and Y. Wu. 2013. "Positive solutions for singular second order differential equations with integral boundary conditions." Mathematical and Computer Modelling 57: 836-847.
- Zhou, Y., Y. Wu, X. Ge, and B. Wiwatanapataphee. 2013. "A Robust Weak Taylor Approximation Scheme for Solutions of Jump-Diffusion Stochastic Delay Differential Equations." Abstract and Applied Analysis 2013
- Sun, Q., Y. Wu, L. Liu, and B. Wiwatanapataphee. 2013. "Study of a Newtonian Fluid through Circular Channels with Slip Boundary Taking into Account Electrokinetic Effect." Abstract and Applied Analysis 2013
- Khajohnsaksumeth, N., B. Wiwatanapataphee, and Y. H. Wu. 2013. "The effect of boundary slip on the transient pulsatile flow of a modified second-grade fluid." Abstract and Applied Analysis 2013
- Wu, Y. H., L. Liu, B. Wiwatanapataphee, and S. Lai. 2013. "Editorial: Nonlinear Functional Analysis of Boundary Value Problems: Novel Theory, Methods, and Applications." Abstract and Applied Analysis 2013
- Phang, C., Y. Wu, and B. Wiwatanapataphee. 2013. "Computation of the Domain of Attraction for Suboptimal Immunity Epidemic Models Using the Maximal Lyapunov Function Method." Abstract and Applied Analysis 2013
- Lai, S., N. Li, and Y. Wu. 2013. "The existence of global weak solutions for a weakly dissipative Camassa-Holm equation in H1(R)." Boundary Value Problems 2013
- Lai, S., and Y. Wu. 2013. "The study of global weak solutions for a generalized hyperelastic-rod wave equation." Nonlinear Analysis: Theory, Methods & Applications 80: 96-108.
- Lai, S., N. Li, and Y. Wu. 2013. "The existence of global strong and weak solutions for the Novikov equation." Journal of Mathematical Analysis and Applications 399 (2): 682-691.
- Li, S., X. Zhang, Y. Wu, and L. Caccetta. 2013. "Extremal solutions for p-laplacian differential systems via iterative computation." Applied Mathematics Letters 26 (12): 1151-1158.
- Hu, X., Y. H. Wu, and L. Li. 2013. "Analysis of a new variational model for image multiplicative denoising." Journal of Inequalities and Applications 2013 (568): 1-9.
- Zhang, X., Y. H. Wu, D. P. Covei, and X. Hao. 2013. "Editorial: Complex Boundary Value Problems of Nonlinear Differential Equations: Theory, Computational Methods, and Applications." Abstract and Applied Analysis 2013
- Zhang, P., L. Liu, and Y. Wu. 2013. "Existence and Uniqueness of Solution to Nonlinear Boundary Value Problems with Sign-Changing Green's Function." Abstract and Applied Analysis 2013
- Peursum, S., Y. H. Wu, and V. Rehbock. 2013. "An analysis of traffic-flow stability in a microscopic heterogeneous network." Road & Transport Research 22 (3): 29-48.
- Phewchean, N., Y. Wu, and Y. Lenbury. 2013. "Option pricing under stochastic environment of volatility and market price of risk." International Journal of Mathematical Models and Methods in Applied Sciences 7 (11): 927-935.
- Hu, X., Y. H. Wu, and L. Li. 2013. "New Traveling Wave Solutions of the Boussinesq Equation Using a New Generalized Mapping Method." Journal of Basic and Applied Physics 2 (2): 68-77.
- Liu, Q. Y., M. B. Hu, R. Jiang, and Y. H. Wu. 2013. "Stop and restart of granular clock in a vibrated compartmentalized bidisperse granular system." Physical Review E 87 (1)

#### 2012

- Hao, X., L. Liu, and Y. Wu. 2012. "Positive solutions for second order differential systems with nonlocal conditions." Fixed Point Theory 13 (2): 507-516.
- Wu, J., X. Zhang, L. Liu, and Y. Wu. 2012. "Positive solutions of higher-order nonlinear fractional differential equations with changing-sign measure." Advances in Difference Equations 2012
- Zhang, X., L. Liu, and Y. Wu. 2012. "Existence results for multiple positive solutions of nonlinear higher order perturbed fractional differential equations with derivatives." Applied Mathematics and Computations 219: 1420-1433.
- Zhang, X., L. Liu, and Y. Wu. 2012. "The eigenvalue problem for a singular higher order fractional differential equation involving fractional derivatives." Applied Mathematics and Computations 218: 8526-8536.
- Zhang, X., L. Liu, and Y. Wu. 2012. "Multiple positive solutions of a singular fractional differential equation with negatively perturbed term." Mathematical and Computer Modelling 55: 1263-1274.
- Tang, T. Q., Y. H. Wu, H. J. Huang, and L. Caccetta. 2012. "An aircraft boarding model accounting for passengers' individual properties." Transportation Research Part C: Emerging Technologies 22: 1-16.
- Yang, C. X., Y. Zhu, Y. Wu, X. Su, C. Jin, and Y. Li. 2012. "Optimized Back-Analysis of Regional Tectonic Stress based on Genetic Algorithms." Disaster Advances 5: 1766-1770.
- Jiang, J., L. Liu, and Y. Wu. 2012. "Positive Solutions for p-Laplacian Fourth-Order Differential System with Integral Boundary Conditions." Discrete Dynamics in nature and Society 2012
- Wiwatanapataphee, B., and Y. H. Wu. 2012. "Mathematical study of blood flow in the real model of the right coronary artery - bypass graft system." Dynamics of Continuous, Discrete and Impulsive Systems B 19: 621-635.
- Wiwatanapataphee, B., Y. H. Wu, T. Siriapisith, and B. Nuntadilok. 2012. "Effect of branchings on blood flow in the system of human coronary arteries." Mathematical Biosciences and Engineering 9 (1): 199-214.
- Zhang, X., L. Liu, B. Wiwatanapataphee, and Y. Wu. 2012. "Positive Solutions of Eigenvalue Problems for a Class of Fractional Differential Equations with Derivatives." Abstract and Applied Analysis 2012
- Guo, Y., S. Lai, and Y. Wu. 2012. "On existence and uniqueness of the global weak solution for a shallow water equation." Applied Mathematics and Computations 218: 11410-11420.
- Hao, X., L. Liu, and Y. Wu. 2012. "Existence of Monotone Positive Solutions for semipositone right focal boundary value problems with dependence on the derivatives." Acta Mathematica Sinica, Chinese Series 55 (1): 150-160.
- Jiang, J., L. Liu, and Y. Wu. 2012. "Positive Solutions for Nonlinear Fractional Differential Equations with Boundary Conditions Involving Riemann-Stieltjes Integrals." Abstract and Applied Analysis 2012
- Jiang, J., L. Liu, and Y. Wu. 2012. "Positive Solutions for Second-Order Singular Semipositone Differential Equations Involving Stieltjes Integral Conditions." Abstract and Applied Analysis 2012
- Su, H., L. Liu, and Y. Wu. 2012. "Positive Solutions for Sturm-Liouville Boundary Value Problems in a Banach Space." Abstract and Applied Analysis 2012
- Han, Y., X. Zhang, L. Liu, and Y. Wu. 2012. "Multiple Positive Solutions of Singular Nonlinear Sturm-Liouville Problems with CarathÃ©odory Perterbed Term." Journal of Applied Mathematics. 2012
- Jiang, J., L. Liu, and Y. Wu. 2012. "Multiple positive solutions of singular fractional differential system involving Stieltjes integral conditions." Electronic Journal of Qualitative Theory of Differential Equations 43: 1-18.
- Jiang, J., L. Liu, and Y. Wu. 2012. "Positive solutions for second order impulsive differential equations with Stieltjes integral boundary conditions." Advances in Difference Equations 2012
- Lin, Q., R. Loxton, K. L. Teo, and Y. H. Wu. 2012. "Optimal control computation for nonlinear systems with state-dependent stopping criteria." Automatica 48: 2116-2129.
- Wang, S., and Y. H. Wu. 2012. "Preface." Numerical Algebra, Control and Optimization 2 (2)
- Tang, T. Q., X. B. Yang, Y. H. Wu, L. Caccetta, and H. J. Huang. 2012. "A Multilane Traffic Flow Model with Lane Width and the Number of Lanes." Chinese Physics Letters 29 (9)
- Wang, Y., L. Liu, and Y. Wu. 2012. "Existence and uniqueness of a positive solution to singular fractional differential equations." Boundary Value Problems 2012
- Wang, Y., L. Liu, and Y. Wu. 2012. "Positive Solutions for a Fractional Boundary Value Problem with Changing Sign Nonlinearity." Abstract and Applied Analysis 2012
- Wang, Y., L. Liu, and Y. Wu. 2012. "Positive Solutions of a Fractional Boundary Value Problem with Changing Sign Nonlinearity." Abstract and Applied Analysis 2012
- Jiang, J., L. Liu, and Y. Wu. 2012. "Multiple positive solutions of singular fractional differential system involving Stieltjes integral conditions." Electronic Journal of Qualitative Theory of Differential Equations

#### 2011

- Tang, T. Q., C. Y. Li, Y. H. Wu, and H. J. Huang. 2011. "Impact of the honk effect on the stability of traffic flow." Physica A 390: 3362-3368.
- Wang, Y., L. Liu, and Y. Wu. 2011. "Positive solutions for a nonlocal fractional differential equation." Nonlinear Analysis: Theory, Methods & Applications 74: 3599-3605.
- Hao, X., L. Liu, Y. Wu, and N. Xu. 2011. "Multiple positive solutions for singular nth-order nonlocal boundary value problems in Banach spaces." Computers and Mathematics with Applications 61: 1880-1890.
- Wang, P., and Y. Wu. 2011. "Quasilinearization of dynamic equations on time scales involving the sum of three functions." International Journal of Pure and Applied Mathematics 70: 843-854.
- Hao, X., L. Liu, and Y. Wu. 2011. "Positive solutions for second order impulsive differential equations with integral boundary conditions." Communications in Nonlinear Science and Numerical Simulation 16: 101-111.
- Wang, Y., L. Liu, and Y. Wu. 2011. "Positive solutions for a class of fractional boundary value problem with changing sign nonlinearity." Nonlinear Analysis: Theory, Methods & Applications 74: 6434-6441.
- Chuchard, P., T. Puapansawat, T. Siriapisith, Y. H. Wu, and B. Wiwatanapataphee. 2011. "Numerical Simulation of Blood Flow Through the System of Coronary Arteries with diseased Left Anterior Descending." International journal of mathematics and computers in simulation 5: 334-341.
- Wiwatanapataphee, B., T. Mookum, and Y. H. Wu. 2011. "Numerical simulation of two-fluid flow and meniscus interface movement in the electromagnetic continuous steel casting process." Discrete and Continuous Dynamical Systems Series B 16 (4): 1171-1183.
- Mookum, T., B. Wiwatanapataphee, and Y. H. Wu. 2011. "Turbulent Flow and Heat Transfer Problem in the Electromagnetic Continuous Casting Process." International journal of mathematics and computers in simulation 5: 310-317.
- Thongnak, S., B. Wiwatanapataphee, and Y. Wu. 2011. "An interactive web-based learning tool for the study of blood flow in a coronary artery system." Far East Journal of mathematical Education 6: 97-110.
- Lai, S., Q. Xie, Y. Guo, and Y. Wu. 2011. "The existence of weak solutions for a generalized camassa-holm equation." Communications on Pure and Applied Analysis 10 (1): 45-57.
- Tang, T. Q., Y. H. Wu, L. Caccetta, and H. J. Huang. 2011. "A new car-following model with consideration of roadside memorial." Physics Letter A 375: 3845-3850.
- Yang, C. X., Y. H. Wu, T. Hon, and X. T. Feng. 2011. "Application of extended Kalman filter to back analysis of the natural stress state accounting for measuring uncertainties." International Journal for Numerical and Analytical Methods in Geomechanics 35 (6): 694-712.
- Yang, C. X., Y. H. Wu, and X. T. Feng. 2011. "Geotechnical parameter identification of no-tension elastic-plastic model using extended Kalman filter." Materials Research Innovations 15
- Lai, S., and Y. Wu. 2011. "A model containing both the Camassa-Holm and Degasperis-Procesi equations." Journal of Mathematical Analysis and Applications 374: 458-469.
- Fan, W., X. Hao, L. Liu, and Y. Wu. 2011. "Nontrivial solutions of singular fourth-order Sturm-Liouville boundary value problems with a sign-changing nonlinear term." Applied Mathematics and Computations 217: 6700-6708.
- Li, X., J. Zhang, S. Lai, and Y. Wu. 2011. "The sharp threshold and limiting profile of blow-up solutions for a Davey-Stewartson system." Journal of Differential Equations 250: 2197-2226.
- Lin, Q., R. Loxton, K. L. Teo, and Y. H. Wu. 2011. "A New Computational Method for a Class of Free Terminal Time Optimal Control Problems." Pacific Journal of Optimization 7 (1): 63-81.
- Lin, Q., R. Loxton, K. L. Teo, and Y. H. Wu. 2011. "A New Computational Method for Optimizing Nonlinear Impulsive Systems." Dynamics of Continuous, Discrete and Impulsive Systems B 18 (1): 59-76.

#### 2010

- Hao, X., L. Liu, and Y. Wu. 2010. "Existence and multiplicity results for nonlinear periodic boundary value problems." Nonlinear Analysis: Theory, Methods & Applications 72: 3635-3642.
- Wang, P., Y. Fan, and Y. Wu. 2010. "On relative fi0-stability of impulsive hybrid systems via perturbing Lyapunov functions." Applied Mathematics and Computations 216: 3050-3055.
- Hao, X., L. Liu, and Y. Wu. 2010. "On positive solutions of an m-point nonhomogeneous singular boundary value problem." Nonlinear Analysis: Theory, Methods & Applications 73: 2532-2540.
- Hao, X., L. Liu, Y. Wu, and Q. Sun. 2010. "Positive solutions for nonlinear nth-order singular eigenvalue problem with nonlocal conditions." Nonlinear Analysis: Theory, Methods & Applications 73: 1653-1662.
- Mookum, T., B. Wiwatanapataphee, and Y. H. Wu. 2010. "Modelling of two-fluid flow and heat transfer with solidification in continuous steel casting process under electromagnetic force." International Journal of Pure and Applied Mathematics 63 (2): 183-195.
- Wiwatanapataphee, B., S. Noinang, Y. H. Wu, and B. Nuntadilok. 2010. "An Integrated Powerpoint-Maple based Teaching-Learning Model for Multivariate Integral Calculus." International Electronic Journal of Mathematics Education 5: 5-31.
- Lai, S., and Y. Wu. 2010. "Global solutions and blow-up phenomena to a shallow water equation." Journal of Differential Equations 249: 693-706.
- Lai, S., and Y. Wu. 2010. "Existence of weak solutions in lower order Sobolev space for a Camassa-Holm-type equation." Journal of Physics A: Mathematical and Theorectical 43
- Lai, S., and Y. Wu. 2010. "The local well-posedness and existence of weak solutions for a generalized Camassa-Holm equation." Journal of Differential Equations 248: 2038-2063.
- Liu, L., X. Hao, and Y. Wu. 2010. "Unbounded Solutions of Second-Order Multipoint Boundary Value Problem on the Half-Line." Boundary Value Problems 2010
- Liu, B., L. Liu, and Y. Wu. 2010. "Existence of nontrivial periodic solutions for a nonlinear second order periodic boundary value problem." Nonlinear Analysis: Theory, Methods & Applications 72: 3337-3345.
- Ling, X., M. B. Hu, W. B. Du, R. Jiang, Y. H. Wu, and Q. S. Wu. 2010. "Bandwidth allocation strategy for traffic systems of scale-free network." Physics Letter A 374: 4825-4830.
- Zhu, F., L. Liu, and Y. Wu. 2010. "Positive solutions for systems of a nonlinear fourth-order singular semipositone boundary value problems." Applied Mathematics and Computations 216: 448-457.
- Liu, L., B. Liu, and Y. Wu. 2010. "Nontrivial solutions for higher-order m-point boundary value problem with a sign-changing nonlinear term." Applied Mathematics and Computations 217: 3792-3800.
- Liu, B., L. Liu, and Y. Wu. 2010. "Unbounded solutions for three-point boundary value problems with nonlinear boundary conditions on [0,+inf)." Nonlinear Analysis: Theory, Methods & Applications 73: 2923-2932.
- Lv, X., S. Lai, and Y. Wu. 2010. "The physical structures of solutions for generalized K(n,n) and BBM equations with variable coefficients." Mathematical and Computer Modelling 52: 781-790.
- Li, X., Y. Wu, and S. Lai. 2010. "A sharp threshold of blow-up for coupled nonlinear SchrÂ¨odinger equations." Journal of Physics A: Mathematical and Theorectical 43
- Yang, C. X., Y. H. Wu, and T. Hon. 2010. "A no-tension elastic-plastic model and optimized back-analysis technique for modeling nonlinear mechanical behavior of rock mass in tunneling." Tunnelling and Underground Space Technology 25: 279-289.
- Lai, S., and Y. Wu. 2010. "Local well-posedness and weak solutions for a weakly dissipative Camassa-Holm equation." Science in China Series A: Mathematics 40 (9): 901-920.

#### 2009

- Wang, P., P. Li, and Y. Wu. 2009. "kth order convergence for semilinear elliptic boundary value problems." Applied Mathematics and Computations 214: 4-9.
- Wang, P., Y. Wu, and B. Wiwatanapaphee. 2009. "An extension of method of quasilinearization for integro-differential equations." International Journal of Pure and Applied Mathematics 54 (1): 27-37.
- Jiang, J., L. Liu, and Y. Wu. 2009. "Second-order nonlinear singular Sturm-Liouville problem with integral boundary condition." Applied Mathematics and Computations 215: 1573-1582.
- Xu, F., L. Liu, and Y. Wu. 2009. "Multiple positive solutions of four-point nonlinear boundary value problem for a higher-order-p-Laplacian operator with all derivatives." Nonlinear Analysis: Theory, Methods & Applications 71: 4309-4319.
- Kong, D., L. Liu, and Y. Wu. 2009. "Triple positive solutions of a boundary value problem for nonlinear singular second-order differential equations of mixed type with p-Laplacian." Computers and Mathematics with Applications 58: 1425-1432.
- Zhang, H., L. Liu, and Y. Wu. 2009. "Positive solutions for nth-order nonlinear impulsive singular integro-differential equations on infinite intervals in Banach spaces." Nonlinear Analysis: Theory, Methods & Applications 70: 772-787.
- Lv, X., S. Lai, and Y. Wu. 2009. "An auxiliary equation technique and exact solutions for a nonlinear Klein-Gordon equation." Chaos Solitons and Fractals 41 (1): 82-90.
- Noinang, S., B. Wiwatanapataphee, and Y. Wu. 2009. "Teaching-learning tool for integral calculus." Far East Journal of mathematical Education 3 (3): 203-212.
- Mookum, T., B. Wiwatanapataphee, and Y. H. Wu. 2009. "Numerical Simulation of three-dimensional fluid flow and heat transfer in electromagnetic steel casting." International Journal of Pure and Applied Mathematics 52 (3): 373-390.
- Wiwatanapataphee, B., Y. H. Wu, M. Hu, and K. Chayantrakom. 2009. "A study of transient flows of Newtonian fluids through micro-annuals with a slip boundary." Journal of Physics A: Mathematical and Theorectical 42
- Hu, M. B., Y. H. Wu, R. Jiang, Q. S. Wu, and W. X. Wang. 2009. "Traffic Dynamics Based on Local Routing Strategy in a Weighted Scale-Free Network." In Traffic and Granular Flow 07, 733-738 Germany: Springer.
- Hu, M. B., R. Jiang, Y. H. Wu, and Q. S. Wu. 2009. "The Effects of Link and Node Capacity on Traffic Dynamics in Weighted Scale-Free Networks." In Complex Sciences Zhou, J., 580-588 Germany: Springer.
- Jiang, R., K. Nishinari, M. B. Hu, Y. H. Wu, and Q. S. Wu. 2009. "Phase Separation in a Bidirectional Two-Lane Asymmetric Exclusion Process." Journal of Statistical Physics 136: 73-88.
- Lin, Q., Y. H. Wu, and R. Loxton. 2009. "A generalized expansion method for nonlinear wave equations." Journal of Physics A: Mathematical and Theorectical 42
- Su, H., L. Liu, and Y. Wu. 2009. "Positive solutions for a nonlinear second-order semipositone boundary value system." Nonlinear Analysis: Theory, Methods & Applications 71: 3240-3248.
- Liu, W., L. Liu, and Y. Wu. 2009. "Positive solutions of a singular boundary value problem for systems of second-order differential equations." Applied Mathematics and Computations 208: 511-519.
- Liu, B., L. Liu, and Y. Wu. 2009. "Multiple solutions of singular three-point boundary value problems on [0,inf)." Nonlinear Analysis: Theory, Methods & Applications 70: 3348-3357.
- Liu, L., B. Liu, and Y. Wu. 2009. "Nontrivial solutions of m-point boundary value problems for singular second-order differential equations with a sign-changing nonlinear term." Journal of Computational and Applied Mathematics 224: 373-382.
- Lin, Q., Y. H. Wu, R. Loxton, and S. Lai. 2009. "Linear B-spline finite element method for the improved Boussinesq equation." Journal of Computational and Applied Mathematics 224: 658-667.
- Lin, Q., Y. H. Wu, and R. Loxton. 2009. "On the Cauchy problem for a generalized Boussinesq equation." Journal of Mathematical Analysis and Applications 353: 186-195.
- Zhang, Y., S. Lai, J. Yin, and Y. Wu. 2009. "The application of the auxiliary equation technique to a generalized mKdV equation with variable coefficients." Journal of Computational and Applied Mathematics 223: 75-85.
- Zhang, J., X. Li, and Y. Wu. 2009. "Remarks on the blow-up rate for critical nonlinear SchrÃ¶dinger equation with harmonic potential." Applied Mathematics and Computations 208: 389-396.
- Li, X., J. Zhang, and Y. Wu. 2009. "MATHEMATICAL ANALYSIS OF THE COLLAPSE IN BOSE-EINSTEIN CONDENSATE." Acta Mathematica Scienta 29B: 56-64.
- Liu, L., Z. Wang, and Y. Wu. 2009. "Multiple positive solutions of the singular boundary value problems for second-order differential equations on the half-line." Nonlinear Analysis: Theory, Methods & Applications 71: 2564-2575.
- Lai, S. Y., Y. X. Guo, Y. Qing, and Y. H. Wu. 2009. "The constructive technique and its application in solving a nonlinear reaction diffusion equation." Chinese Physics B 18 (2): 405-410.
- Wang, Y., C. Mu, and Y. Wu. 2009. "Decay and scattering of solutions for a generalized Boussinesq equation." Journal of Differential Equations 247: 2380-2394.
- Hu, M. B., X. Ling, R. Jiang, Y. H. Wu, and Q. S. Wu. 2009. "Dynamical hysteresis phenomena in complex network traffic." Physical Review E 79
- Hu, M. B., Y. H. Wu, R. Jiang, Q. S. Wu, and W. X. Wang. 2009. "Traffic Dynamics Based on Local Routing Strategy in a Weighted Scale-Free Network." In Conference on Traffic and Granular Flow, Jun 20, 2007, Paris-Sub Univ, Orsay, FRANCE: SPRINGER-VERLAG BERLIN.
- Wu, Y. H., J. Wu, and Z. S. Wu. 2009. "Complementary code application in incoherent scattering." Xitong Fangzhen Xuebao / Journal of System Simulation 21 (19): 6148-6151.

#### 2008

- Wang, P., S. Tian, and Y. Wu. 2008. "Monotone iterative method for first-order functional difference equations with nonlinear boundary value conditions." Applied Mathematics and Computations 203 (1): 266-272.
- Wang, P., H. Wu, and Y. Wu. 2008. "Higher even-order convergence and coupled solutions for second-order boundary value problems on time scale." Computers and Mathematics with Applications 55: 1693-1705.
- Lin, Q., Y. H. Wu, and S. Lai. 2008. "On global solution of an initial boundary value problem for a class of damped nonlinear equations." Nonlinear Analysis: Theory, Methods & Applications 69: 4340-4351.
- Wang, P., M. Wu, and Y. Wu. 2008. "Practical stability in terms of two measures for discrete hybrid systems." Nonlinear Analysis:Hybrid Systems 2: 58-64.
- Wang, P., H. Wu, and Y. Wu. 2008. "Criteria on boundedness in terms of two measures for discrete systems." Applied Mathematics Letters 21 (12): 1221-1228.
- Hu, M. B., R. Jiang, Y. H. Wu, W. X. Wang, and Q. S. Wu. 2008. "Routing on a weighted scale-free network." Physica A 387: 4967-4972.
- Jiang, R., M. B. Hu, Y. H. Wu, and Q. S. Wu. 2008. "Weak and strong coupling in a two-lane asymmetric exclusion process." Physical Review E 77
- Wiwatanapataphee, B., Y. H. Wu, S. Amornsamankul, and B. Novaprateep. 2008. "Simulation of transient blood flows in the artery with an asymmetric stenosis." ANZIAM Journal 48
- Wiwatanapataphee, B., Y. Wu, and T. Hossain. 2008. "Numerical Simulation of three-Dimension Fluid Flow in the Electromagnetic Steel casting process." International Journal of Computational Science 2 (2): 261-273.
- Lai, S., Y. H. Wu, and B. Wiwatanapataphee. 2008. "On exact travelling wave solutions for two types of nonlinear K(n,n) equations and a generalized KP equation." Journal of Computational and Applied Mathematics 212: 291-299.
- Wu, Y. H., B. Wiwatanapataphee, and M. Hu. 2008. "Pressure-driven transient flows of Newtonian fluids through microtubes with slip boundary." Physica A 387: 5979-5990.
- Liu, L., P. Kang, Y. Wu, and B. Wiwatanapataphee. 2008. "Positive solutions of singular boundary value problems for systems of nonlinear fourth order differential equations." Nonlinear Analysis: Theory, Methods & Applications 68: 485-498.
- Hadkaew, P., B. Wiwatanapataphee, and Y. Wu. 2008. "Project-based Learning Model for the Study of Blood Flow in the Human blood Circulatory System." The International Journal of Learning 15 (3): 195-202.
- Kongnual, S., B. Wiwatanapataphee, and Y. Wu. 2008. "An ALE technique for simulating free surface movement and turbulent flow of molten steel in tundishes." International Journal of Pure and Applied Mathematics 43 (2): 161-174.
- Cai, Z. P., Y. M. Yuan, R. Jiang, M. B. Hu, Q. S. Wu, and Y. H. Wu. 2008. "Asymmetric coupling in multi-channel simple exclusion processes." Journal of Statistical Mechanics: Theory and Experiment 2008: 1-12.
- Hu, M. B., R. Jiang, Y. H. Wu, R. Wang, and Q. S. Wu. 2008. "Properties of wealth distribution in multi-agent systems of a complex network." Physica A 387: 5862-5867.
- Liu, L., L. Hu, and Y. Wu. 2008. "Positive solutions of two-point boundary value problems for systems of nonlinear second-order singular and impulsive differential equations." Nonlinear Analysis: Theory, Methods & Applications 69 (11): 3774-3789.
- Liu, L., X. Zhang, and Y. Wu. 2008. "Existence of positive solutions for singular higher-order differential equations." Nonlinear Analysis: Theory, Methods & Applications 68: 3948-3961.
- Liu, B., L. Liu, and Y. Wu. 2008. "Positive sols for a singular second-order three-point boundary value problem." Applied Mathematics and Computations 196: 532-541.
- Zhang, X., L. Liu, and Y. Wu. 2008. "Positive solutions of nonresonance semipositone singular Dirichlet boundary value problems." Nonlinear Analysis: Theory, Methods & Applications 68: 97-108.
- Hu, M. B., R. Jiang, Y. H. Wu, W. X. Wang, and Q. S. Wu. 2008. "Urban traffic from the perspective of dual graph." European Physical Journal B 63: 127-133.
- Lai, S., Y. Wu, and Y. Zhou. 2008. "Some physical structures for the (2 + 1) - dimensional Boussinesq water equation with positive and negative exponentsI." Computers and Mathematics with Applications 56: 339-345.
- Jiang, R., H. Deng, M. B. Hu, Y. H. Wu, and Q. S. Wu. 2008. "Spatial three-player prisoners's dilemma." Physical Review E 78 (4)
- Zhang, H., L. Liu, and Y. Wu. 2008. "A unique positive solution for nth-order nonlinear impulsive singular integro-differential equations on unbounded domains in Banach spaces." Applied Mathematics and Computations 203: 649-659.
- Liu, Z., L. Liu, W. Yonghong, and J. Zhao. 2008. "Unbounded solutions of a boundary value problem for abstract nth-order differential equations on an infinite interval." Journal of Applied Mathematics and Stochastic Analysis 2008: 1-11.
- Hu, L., L. Liu, and Y. Wu. 2008. "Positive solutions of nonlinear singular two-point boundary value problems for second-order impulsive differential equations." Applied Mathematics and Computations 196: 550-562.
- Wang, Y., L. Liu, and Y. Wu. 2008. "Positive solutions of singular boundary value problems on the half-line." Applied Mathematics and Computations 197: 789-796.
- Mu, C., L. Liu, Y. Wu, and L. Yan. 2008. "Some new results for the multidimensional Landau-Lifshitz equations." Physics Letters A 372: 6469-6474.
- Lai, S., J. Yin, and Y. Wu. 2008. "Different physical structures of solutions for two related Zakharov-Kuznetsov equations." Physics Letter A 372: 6461-6468.
- Lai, S., X. Lv, and Y. Wu. 2008. "Explicit solutions of two nonlinear dispersive equations with variable coefficients." Physics Letters A 372: 7001-7006.

#### 2007

- Hu, M. B., W. X. Wang, R. Jiang, Q. S. Wu, and Y. H. Wu. 2007. "The effect of bandwidth in scale-free network traffic." europhysics letters 79
- Liu, B., L. Liu, and Y. Wu. 2007. "Positive solutions for singular systems of three-point boundary value problems." Computers and Mathematics with Applications 53: 1429-1438.
- Wang, P., Y. Wu, and L. Caccetta. 2007. "Oscillation criteria for boundary value problems of high-order partial functional differential equations." Journal of Computational and Applied Mathematics 206: 567-577.
- Wiwatanapataphee, B., Y. Wu, Y. Lenbury, and P. Ruengsakulrach. 2007. "Three-Dimensional Simulation of Unsteady State Blood Flows in Stenotic Arteries." Int Journal of Applied Mathematics 20 (4): 467-482.
- Tang, C. F., R. Jiang, Q. S. Wu, B. Wiwatanapataphee, and Y. H. Wu. 2007. "Mixed traffic flow in Anisotropic continuum model." Transportation research record 1999: 13-22.
- Wu, Y. H., and B. Wiwatanapataphee. 2007. "MODELLING OF TURBULENT FLOW AND MULTI-PHASE HEAT TRANSFER UNDER ELECTROMAGNETIC FORCE." Discrete and Continuous Dynamical Systems 8: 695-706.
- Yuan, W., B. Wiwatanapataphee, and Y. Wu. 2007. "On Normal Criteria of Meromorphic Functions." International Journal of Mathematical Sciences 6 (1): 29-36.
- Zhang, X., L. Liu, B. Wiwatanapataphee, and Y. Wu. 2007. "Singular higher-order semipositone nonlinear eigenvalue problems." Dynamics of Continuous, Discrete and Impulsive Systems 14 (4): 565-576.
- Hu, M. B., Y. H. Wu, R. Jiang, and Q. S. Wu. 2007. "Dynamic Prisoner's dilemma on Scale-free Network." In Complex Systems II Abbott, D., T. Aste, M. Batchelor, R. Dewar, T. DiMatteo, and T. Guttmann. USA: SPIE.
- Hu, M. B., W. X. Wang, R. Jiang, Q. S. Wu, and Y. H. Wu. 2007. "Phase transition and hysteresis in scale-free network traffic." Physical Review E 75
- Hao, X., L. Liu, and Y. Wu. 2007. "Positive Solutions for Nonlinear nth-Order Singular Nonlocal Boundary Value Problems." Boundary Value Problems 2007: 1-10.
- Liu, B., L. Liu, and Y. Wu. 2007. "Positive solutions for singular second order three-point boundary value problems." Nonlinear analysis. theory, methods & applications 66: 2756-2766.
- Liu, L., X. Zhang, and Y. Wu. 2007. "Positive solutions of fourth-order nonlinear singular Sturm-Liouville eigenvalue problems." Journal of Mathematical Analysis and Applications 326: 1212-1224.
- Lai, S., Y. Wang, Y. Wu, and Q. Lin. 2007. "An Initial-Boundary Value Problem for a Generalized Boussinesq Water System in a Ball." International Journal of Applied Mathematical Sciences 3: 117-133.
- Liu, Z., L. Liu, Y. Wu, and J. Zhao. 2007. "Initial Value Problems In Infinite Interval of First Order Nonlinear Impulsive Integro-Differential Equations in Banach Spaces." Dynamics of Continuous, Discrete and Impulsive Systems 14: 13-26.
- Liu, L., X. Zhang, and Y. Wu. 2007. "On existence of postive solutions of a two-point boundary value problems for a nonlinear singular semipositone system." Applied Mathematics and Computations 192: 223-232.
- Su, H., L. Liu, X. Zhang, and Y. Wu. 2007. "Global solutions of initial value problems for nonlinear second-order integro-differential equations of mixed type in Banach spaces." Journal of Mathematical Analysis and Applications 330: 1139-1151.
- Zhang, X., L. Liu, and Y. Wu. 2007. "Existence of positive solutions for second-order semipositone differential equations on the half-line." Applied Mathematics and Computations 185: 628-635.
- Zhang, X., L. Liu, and Y. Wu. 2007. "Global solutions of nonlinear second-order impulsive integro-differential equations of mixed type in Banach spaces." Nonlinear Analysis: Theory, Methods & Applications 67: 2335-2349.
- Liu, L., B. Liu, and Y. Wu. 2007. "Positive solutions of singular boundary value problems for nonlinear differential systems." Applied Mathematics and Computations 186: 1163-1172.
- Wang, Z., L. Liu, and Y. Wu. 2007. "The unique solution of boundary value problems for nonlinear second-order integral-differential equations of mixed type in Banach spaces." Computers and Mathematics with Applications 54: 1293-1301.
- Liu, L., Z. Liu, and Y. Wu. 2007. "Infinite boundary value problems for nth-order nonlinear impulsive integro-differential equations in Banach spaces." Nonlinear Analysis: Theory, Methods & Applications 67: 2670-2679.
- Wu, Y. H., J. M. Hill, and A. Yu. 2007. "A finite element method for granular flow through a frictional boundary." Communications in Nonlinear Science and Numerical Simulation 12: 486-495.
- Hu, M. B., R. Jiang, Q. S. Wu, and Y. H. Wu. 2007. "Simulating the wealth distribution with a Riches-following strategy on scale-free network." Physica A 381: 467-472.
- Wang, P., H. Wu, and Y. Wu. 2007. "A NOTE ON MONOTONE ITERATIVE TECHNIQUE FOR FUNCTIONAL DIFFERENTIAL SYSTEMS WITH RETARDATION AND ANTICIPATION." International Journal of Pure and Applied Mathematics 41 (5): 749-754.
- Hu, M., R. Jiang, W. X. Wang, Q. Wu, B. Wang, and Y. Wu. 2007. "A Heuristic Model Characterizing the Overall Capacity and Efficiency of Urban Traffic System Based on Scale-Free Network Theory." Dynamics of Continuous, Discrete and Impulsive Systems B 14: 217-221.
- Wu, Q., M. Hu, X. Kong, and Y. Wu. 2007. "Particle Discharge Process from a Capillary Pipe." In Traffic and Granular Flow '05, 193-202 USA: Springer.

#### 2006

- Wiwatanapataphee, B., D. Poltem, Y. H. Wu, and Y. Lenbury. 2006. "Simulation of pulsatitle flow of blood in stenosed coronary artery bypass with graft." Mathematical and Biosciences and Engineering 3 (2): 371-383.
- Amornsamankul, S., B. Wiwatanapataphee, Y. Wu, and Y. Lenbury. 2006. "Effect of Non-Newtonian Behaviour of blood on Pulsatile Flows in Stenotic Arteries." International journal of Biomedical Sciences 1 (1): 42-46.
- Srimongkol, S., B. Wiwatanapataphee, and Y. Wu. 2006. "Computer simulation of polymethymethacrylate bone cement flow through femoral canal and cancellous bone." ANZIAM Journal 47
- Wiwatanapataphee, B., S. Kongnual, and Y. Wu. 2006. "Finite element analysis of turbulent flow of molten steel in tundish vessels." International Journal of Pure and Applied Mathematics 26 (3): 409-422.
- Wiwatanapataphee, B., S. Amornsamankul, Y. Wu, and Y. Lenbury. 2006. "Simulation of transient blood flow through stenosed coronary arteries." WSEAS Transactions on Fluid Mechanics 1 (7): 771-778.
- Hu, M. B., W. X. Wang, R. Jiang, Q. S. Wu, B. H. Wang, and Y. H. Wu. 2006. "A unified framework for the pareto law and Matthew effect using scale-free networks." European Physical Journal B 53: 273-277.
- Kong, X. Z., M. B. Hu, Q. S. Wu, and Y. H. Wu. 2006. "Kinetic energy sandpile model for conical sandpile development by revolving rivers." Physics Letter A 348: 77-81.
- Zhu, H. P., A. B. Yu, and Y. H. Wu. 2006. "Numerical investigation of steady and unsteady state hopper flows." Powder Technology 170: 125-134.
- Lin, Q., S. Lai, and Y. Wu. 2006. "Asymptotic behaviour of solutions for a damped evolution equation in a disk." International Journal of Pure and Applied Mathematical Sciences 3 (1): 101-112.
- Liu, L. S., Y. H. Wu, and X. G. Zhang. 2006. "On well-posedness of an initial value problem for nonlinear second-order impulsive integro-differential equations of Volterra type in Banach spaces." Journal of Mathematical Analysis and Applications 317: 634-649.
- Liu, L., Y. Xu, Y. Wu, and P. F. Siew. 2006. "One Unique solution of an initial value problem for nonlinear first-order impulsive integro-differential equations of volterra type in Banach spaces." Dynamics of Continuous, Discrete and Impulsive Systems 13: 641-652.
- Wang, Z., L. Liu, and Y. Wu. 2006. "Multiple positive solutions of Strum-Liouville equations with singularities." Discrete Dynamics in nature and Society 2006
- Xu, F., Y. Wu, L. Liu, and Y. Zhou. 2006. "Positive solutions of three-point boundary value problems for higher-order p-Laplacian with infinite many sigularities." Discrete Dynamics in nature and Society 2006: 1-12.
- Kong, X. Z., M. B. Hu, Q. S. Wu, and Y. H. Wu. 2006. "Effect of vibration frequency on intruders' position in granular bed." Physics Letters A 356: 267-271.
- Kong, X. Z., M. B. Hu, Q. S. Wu, and Y. H. Wu. 2006. "Effect of bottleneck on granular convection cells and sugregation." Granular Matter 8: 119-124.
- Li, C., L. Liu, and Y. Wu. 2006. "Multiple positive solutions for nonlinear second order m-point boundary value problems." Journal of nonlinear functional analysis and differential equations 1 (1): 191-205.

#### 2005

- Zhang, S., Q. Pan, Y. Wu, and Y. Cheng. 2005. "Prediction of eukaryotic protein subcellular location using a novel feature extraction method and support vector machine." Xibei Gongye Daxue Xuebao/Journal of Northwestern Polytechnical University 23 (6): 798-803.
- Wang, P. G., Y. H. Wu, and L. Caccetta. 2005. "Forced Oscillation of a Class of Neutral Hyperbolic Differential Equations." Journal of Computational and Applied Mathematics 177 (2): 301-308.
- Wang, P. G., H. R. Lian, and Y. H. Wu. 2005. "Global Asymptotic Stability of Hight-Order Delay Hopfield Neural Networks with Time-Varying Coefficients." Journal of analysis and Its Applications 24 (2): 419-429.
- Liu, L. S., F. Guo, C. X. Wu, and Y. H. Wu. 2005. "Existence theorems of global solutions for nonlinear Volterra type integral equations in Banach spaces." Journal of Mathematical Analysis and Applications 309: 638-649.
- Lai, S., Y. Wu, J. He, and Q. Lin. 2005. "The stability of solitary waves for a generalized Boussinesq Equation." International Journal of Pure and Applied Mathematics 21 (4): 501-512.
- Guo, F., L. S. Liu, Y. H. Wu, and P. F. Siew. 2005. "Global solutions of initial value problems for nonlinear second-order impulsive integrodifferential equations of mixed type in Banach spaces." Nonlinear analysis. theory, methods & applications 61: 1363-1382.
- Zhu, H. P., Y. H. Wu, and A. B. Yu. 2005. "Discrete and Continuum Modelling of Granular Flow." China Particuology 3 (6): 354-363.
- Hu, M. B., Q. S. Wu, X. Z. Kong, and Y. H. Wu. 2005. "Discharge oscillation of particles from a vertical pipe with capillary outlet." Chinese Science Bulletin 50 (11): 1076-1078.
- Hu, M., Q. Wu, X. Kong, and Y. Wu. 2005. "Discharging process of particles from vertical pipes." Science Bulletin 50 (15): 1567-1569.
- Hu, M. B., X. Z. Kong, Q. S. Wu, and Y. H. Wu. 2005. "Granular Segregation in a Multi-Bottleneck Container: Mobility Effect." International Journal of Modern Physics B 19 (10): 1793-1800.
- Kong, X. Z., M. B. Hu, Q. S. Wu, and Y. H. Wu. 2005. "Ring-like size segregation in vibrated cylinder with a bottleneck." Physics Letter A 341: 278-284.

#### 2004

- Wang, P., and W. U. Yonghong. 2004. "Oscillation of Solutions for Systems of Hyperbolic Equations of Neutral Type." Electronic Journal of Differential Equations 80: 1-8.
- Wang, P. G., and Y. H. Wu. 2004. "Asymptotic Properties of Solutions for First-Order Neutral Differentail Equations with Distributed Deviating Arguments." Applied Mathematics Letters 17: 933-938.
- Wiwatanapataphee, B., Y. H. Wu, J. Archapitak, P. F. Siew, and B. Unyong. 2004. "A numerical study of the turbulent flow of molten steel in a domain with a phase-change boundary." Journal of Computational and Applied Mathematics 166: 307-319.
- Wu, Y. H., B. Wiwatanapataphee, and J. Yu. 2004. "An Enthalpy Control Volume Method for Transient Mass and Heat Transport with Solidification." International Journal of Computational Fluid Dynamics 18: 577-584.
- Archapitak, J., B. Wiwatanapataphee, Y. Wu, and I. Tang. 2004. "A Finite Element Scheme for the Determination of Electromagnetic Force in Continuous Steel Casting." International Journal of Computational and Numerical Analysis and Applications 5: 81-95.
- Lai, S. Y., X. Yang, and Y. H. Wu. 2004. "The Asymptotic Theory of Global Solutions for Semilinear Wave Equations in Three Space Dimensions." Computers and Mathematics with Applications 47: 1535-1543.
- Lai, S. Y., Y. H. Wu, and X. Yang. 2004. "The Global Solution of an Initial Boundary Value Problem for the Damped Boussinesq Equation." Communications on Pure and Applied Analysis 3: 319-328.
- Wang, P., and Y. Wu. 2004. "Further Results on Differential Inequality of a Class of Second Order Neutral Type." Tamkang Journal of Mathematics 35: 43-51.
- Wang, P., and Y. Wu. 2004. "Oscillation Criteria for Impulsive Parabolic Differential Equations of Neutral Type." International Journal of Pure and Applied Mathematics 14: 511-520.
- Wu, Y., S. Lai, and G. Q. Zhang. 2004. "Asymptotics of the Global Solution for a Nonlinear Telegraph Equation." International Journal of Differential Equations and Applications 8: 257-270.
- Wu, Y., X. Yu, and P. F. Siew. 2004. "Numerical Simulation of Fluid-Solid Two-Phase Flows at Particle Level." In Advances in Scientific Computing and Applications, 388-395 Beijing: Science Press.
- Wu, Y. H., Q. Pan, H. C. Zhang, and J. L. Meng. 2004. "Noise reduction method research based on discrete wavelet transform." Xitong Fangzhen Xuebao / Journal of System Simulation 16 (12)

#### 2003

- Zhang, G. Q., Y. H. Wu, M. Remias, and J. Lu. 2003. "Formulation of fuzzy linear programming problems as four-objective constrained optimization problems." Applied Mathematics and Computations 139: 383-399.
- Wang, P. G., and Y. H. Wu. 2003. "Oscillation of certain second-order functional differential equations with damping." Journal of Computational and Applied Mathematics 157: 49-56.
- Archapitak, J., B. Wiwatanapataphee, Y. Wu, and I. Tang.. "A moving finite element method for simulating the flow of molten steel and flux in the continuous casting process." East-West Journal of Mathematics Special Volume Inpress.
- Lai, S. Y., and Y. H. Wu. 2003. "The asymptotic solution of the Cauchy Problem for a generalized Boussinesq Equation." Discrete and Continuous Dynamical Systems 3 (3): 401-408.
- Wu, Y., M. Chuedoung, and P. F. Siew. 2003. "Optimal boundary control of a linear parabolic evolution system." ANZIAM Journal 44E: 836-850.
- Lai, S., Y. Wu, and G. Q. Zhang. 2003. "The global solution of an initial value problem for a generalized Boussinesq Equation." International Journal of Differential Equations and Applications 7 (2): 153-163.
- Wang, P., and Y. Wu. 2003. "On Certain Even Order Neutral Differential Inequalities." Far East Journal of Mathematical Science 8 (1): 53-61.
- Song, J. B., K. J. Wu, and Y. H. Wu. 2003. "Outer wave number spectrum and statistical distribution of apparent wave number vector." Journal of Ocean Engineering 30: 401-412.
- Tang, Z., Y. Wu, and P. F. Siew. 2003. "Grey topologic model for predicting oil production by steam injection recovery techniques." The Journal of Grey System 3: 267-270.
- Wu, Y.. "A numerical technique for optimal boundary control of parabolic systems utilizing the finite element method." East-West Journal of Mathematics Special volume Inpress.
- Zhang, G. Q., Y. Wu, M. Remias, and J. Lu.. "An a-Fuzzy max order and solution of a linear fuzzy optimization problem." East-West Journal of mathematics Special volume Inpress.
- Zhang, G. Q., J. Lu, and Y. Wu.. "Formulation of Linear Programming Problems with Fuzzy Coefficients in Objective Functions and Constraints." Asian Information Science Life 2 Inpress.
- Wu, Y., and P. Wang. 2003. "Sufficient conditions for Oscillation of Systems of Parabolic Differential Equations of Neutral Type." International Journal of Differential Equations and Applications 6 (3): 343-352.

#### 2002

- Song, J. B., Y. J. Hou, Y. J. He, Y. H. Wu, and B. S. Yin. 2002. "Statistical distribution of wave-surface elevation for second-order random directional ocean waves in finite water depth." Coastal Engineering 46 (1): 51-60.
- Lai, S., and Y. Wu. 2002. "The global solution of an initial value problem for the damped Boussinesq equation." In Advances in Statistics, combinatorics and related areas Singapore: World Scientific.

#### 2001

- Zhang, G. Q., E. E. Kerre, Y. H. Wu, and K. L. Teo. 2001. "Necessity measures and necessity integrals on a complete lattice." International Journal of General Systems 30 (3): 241-260.

#### 2000

- Wu, Y., B. Wiwatanapataphee, R. Collinson, and G. Q. Zhang. 2000. "An exponentially fitted enthalgy control volume algorithm for coupled fluid flow and heat transfer." ANZIAM Journal 42(E)
- Song, J. B., Y. H. Wu, and B. Wiwatanapataphee. 2000. "Probability distribution of random wave forces in weakly nonlinear random waves." Ocean Engineering 27 (12): 1391-1405.
- Wu, Y., and R. Collinson. 2000. "Determination of velocity and stress discontinuities in quasi-static granular flows." ANZIAM Journal 42(E)
- Wu, Y. H., and J. W. Tian. 2000. "Mathematical analysis of long-wave breaking on open channels with bottom friction." Ocean Engineering 27 (2): 187-201.
- Song, J. B., and Y. H. Wu. 2000. "Statistical distribution of water-particle velocity below the surface layer for finite water depth." Coastal Engineering 40 (1): 1-19.

#### 1999

- Hill, J. M., Y. H. Wu, and B. Wiwatanapataphee. 1999. "Analysis of flux flow and the formation of oscillation marks in the continuous caster." Journal of Engineering Mathematics 36 (4): 311-326.
- Hill, J. M., J. Shi, A. Tordesillas, and Y. H. Wu. 1999. "Velocity field for the punch problem for dilatant granular materials." Quarterly Journal of Mechanics and Applied Mathematics 52 (1): 99-110.
- Song, J. B., and Y. H. Wu. 1999. "Statistical distribution of maximum surface displacement in weakly nonlinear random waves." Journal of Waterway, Port, Coastal and Ocean Engineering 125 (2): 59-65.

#### 1998

- Collinson, R., and Y. H. Wu. 1998. "A computation scheme for nonlinear hyperbolic PDE's governing granular flows." In 8th Biennial Computational Techniques and Applications Conference (CTAC97), Sep 29, 1997, ADELAIDE, AUSTRALIA: WORLD SCIENTIFIC PUBL CO PTE LTD.
- Wu, Y. H., J. W. Tian, and J. B. Song. 1998. "A control volume procedure for solving nonlinear convection-diffusion equations on unstructured mesh." In 8th Biennial Computational Techniques and Applications Conference (CTAC97), Sep 29, 1997, ADELAIDE, AUSTRALIA: WORLD SCIENTIFIC PUBL CO PTE LTD.

#### 1996

- Hill, J. M., and Y. H. Wu. 1996. "The punch problem for shear-index granular materials." Quarterly Journal of Mechanics and Applied Mathematics 49 (1): 81-99.

#### 1994

- WU, Y. H., J. M. HILL, and P. J. FLINT. 1994. "A NOVEL FINITE-ELEMENT METHOD FOR HEAT-TRANSFER IN THE CONTINUOUS CASTER." JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS 35: 263-288.
- Hill, J. M., and Y. H. Wu. 1994. "On a nonlinear stefan problem arising in the continuous casting of steel." Acta Mechanica 107 (1-4): 183-198.

#### 1993

- Hill, J. M., and Y. H. Wu. 1993. "Plastic flows of granular materials of shear index n-I. Yield functions." Journal of the Mechanics and Physics of Solids 41 (1): 77-93.
- Hill, J. M., and Y. H. Wu. 1993. "Plastic flows of granular materials of shear index n-II. Plane and axially symmetric problems for n = 2." Journal of the Mechanics and Physics of Solids 41 (1): 95-115.

#### 1992

- Wu, Y. H., and L. C. Schmidt. 1992. "Comparison of calculated and observed filling and flow pressures in silos and hoppers."
- Wu, Y. H., and C. S. L. 1992. "A boundary element method for prediction of silo pressures." Computers and Structures 45 (2): 315-323.
- HILL, J. M., and Y. H. WU. 1992. "SOME AXIALLY SYMMETRICAL FLOWS OF MOHR-COULOMB COMPRESSIBLE GRANULAR-MATERIALS." PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 438 (1902): 67-93.

#### 1991

- Hill, J. M., and Y. H. Wu. 1991. "Kinematically determined axially-symmetric plastic flows of metals and granular materials." Quarterly Journal of Mechanics and Applied Mathematics 44 (3): 451-469.