139 Publications (Page 4 of 6)
2014
Preface: Special issue on dissipative systems and applications with emphasis on nonlocal or nonlinear diffusion problems
Shen, Wenxian⋅Shen, Wenxian⋅Hetzer, Georg and Hetzer, Georg
Discrete and Continuous Dynamical Systems, vol. 35, (no. 4), 2014-11-00. | Journal Article
 
Spreading Speeds and Linear Determinacy for Two Species Competition Systems with Nonlocal Dispersal in Periodic Habitats
Kong, Liang⋅Rawal, Nar and Shen, Wenxian
2014-10-01. | Journal Article
 
Spreading speeds and traveling waves of nonlocal monostable equations in time and space periodic habitats
Rawal, Nar⋅Shen, Wenxian and Zhang, Aijun
Discrete and Continuous Dynamical Systems, vol. 35, (no. 4), pp. 1640, 2014-11-00. | Journal Article
 
Stability, Uniqueness and Recurrence of Generalized Traveling Waves in Time Heterogeneous Media of Ignition Type
Shen, Wenxian and Shen, Zhongwei
2014-08-17. | Journal Article
 
Transition fronts in nonlocal equations with time heterogeneous ignition nonlinearity
Shen, Wenxian and Shen, Zhongwei
2014-10-16. | Journal Article
 
Transition Fronts in Time Heterogeneous and Random Media of Ignition Type
Shen, Wenxian and Shen, Zhongwei
2014-07-28. | Journal Article
2013
ASYMPTOTIC DYNAMICS OF A CLASS OF COUPLED OSCILLATORS DRIVEN BY WHITE NOISES
Shen, Wenxian⋅Shen, Zhongwei and ZHOU, SHENGFAN
Stochastics and Dynamics, vol. 13, (no. 4), Dec 2013. | Journal Article
 
EFFECTS OF SPATIAL VARIATIONS AND DISPERSAL STRATEGIES ON PRINCIPAL EIGENVALUES OF DISPERSAL OPERATORS AND SPREADING SPEEDS OF MONOSTABLE EQUATIONS
Hetzer, Georg⋅HETZER, GEORG⋅SHEN, WENXIAN⋅SHEN, WENXIAN⋅ZHANG, AIJUN and ZHANG, AIJUN
The Rocky Mountain Journal of Mathematics, vol. 43, (no. 2), pp. 513, 20130101. | Journal Article
 
On Principal Spectrum Points/Principal Eigenvalues of Nonlocal Dispersal Operators and Applications
Shen, Wenxian and Xie, Xiaoxia
2013-09-18. | Journal Article
 
Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. I. General theory
Mierczyński, Janusz and Shen, Wenxian
Transactions of the American Mathematical Society, vol. 365, (no. 10), pp. 5365, October 1, 2013. | Journal Article
 
Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. II. Finite-dimensional systems
Mierczyński, Janusz and Shen, Wenxian
Journal of Mathematical Analysis and Applications, vol. 404, (no. 2), pp. 458, 2013-08-00. | Journal Article
 
Spreading Speeds and Traveling Waves of Nonlocal Monostable Equations in Time and Space Periodic Habitats
Rawal, Nar⋅Shen, Wenxian and Zhang, Aijun
2013-07-24. | Journal Article
2012
Characterization of turing diffusion-driven instability on evolving domains
Hetzer, Georg⋅Hetzer, Georg⋅Madzvamuse, Anotida⋅Madzvamuse, Anotida⋅Shen, Wenxian and Shen, Wenxian
Discrete and Continuous Dynamical Systems, vol. 32, (no. 11), pp. 4000, 2012-06-00. | Journal Article
 
Coexistence and extinction in the Volterra-Lotka competition model with nonlocal dispersal
Hetzer, Georg⋅Hetzer, Georg⋅Nguyen, Tung⋅Nguyen, Tung⋅Shen, Wenxian and Shen, Wenxian
Communications on Pure and Applied Analysis, vol. 11, (no. 5), pp. 1722, 2012-03-00. | Journal Article
 
Criteria for the Existence and Lower Bounds of Principal Eigenvalues of Time Periodic Nonlocal Dispersal Operators and Applications
Rawal, Nar and Shen, Wenxian
Journal of Dynamics and Differential Equations, vol. 24, (no. 4), pp. 954, 20121200. | Journal Article
 
Evolution of mixed dispersal in periodic environments
Kao, Chiu-Yen⋅Lou, Yuan and Shen, Wenxian
Discrete and Continuous Dynamical Systems - Series B, vol. 17, (no. 6), pp. 2072, 2012-05-00. | Journal Article
 
Positive Stationary Solutions and Spreading Speeds of KPP Equations in Locally Spatially Inhomogeneous Media
Kong, Liang and Shen, Wenxian
2012-02-08. | Journal Article
 
Stationary solutions and spreading speeds of nonlocal monostable equations in space periodic habitats
Shen, Wenxian and Zhang, Aijun
Proceedings of the American Mathematical Society, vol. 140, (no. 5), pp. 1696, 20120501. | Journal Article
 
Traveling Wave Solutions of Spatially Periodic Nonlocal Monostable Equations
Shen, Wenxian and Zhang, Aijun
2012-02-11. | Journal Article
2011
Existence, Uniqueness, and Stability of Generalized Traveling Waves in Time Dependent Monostable Equations
Shen, Wenxian and Shen, Wenxian
Journal of Dynamics and Differential Equations, vol. 23, (no. 1), pp. 44, 20110300. | Journal Article
 
Persistence in Forward Nonautonomous Competitive Systems of Parabolic Equations
Mierczyński, Janusz⋅Mierczyński, Janusz⋅Shen, Wenxian and Shen, Wenxian
Journal of Dynamics and Differential Equations, vol. 23, (no. 3), pp. 571, 20110900. | Journal Article
 
Positive stationary solutions and spreading speeds of KPP equations in locally spatially in homogeneous media
Kong, Liang and Shen, Wenxian
Methods and Applications of Analysis, vol. 18, (no. 4), pp. 456, 2011-00-00. | Journal Article
 
Random attractors for stochastic lattice dynamical systems in weighted spaces
Han, Xiaoying⋅Han, Xiaoying⋅Shen, Wenxian⋅Shen, Wenxian⋅Zhou, Shengfan and Zhou, Shengfan
Journal of Differential Equations, vol. 250, (no. 3), pp. 1266, 2011. | Journal Article
2010
Effects of small spatial variation of the reproduction rate in a two species competition model
Hetzer, Georg⋅Hetzer, Georg⋅Nguyen, Tung⋅Nguyen, Tung⋅Shen, Wenxian and Shen, Wenxian
Electronic Journal of Differential Equations, vol. 2010, (no. 160), pp. 16, 2010-11-01. | Journal Article
 
{\mathcal{A}}$$ -Stability of Global Attractors of Competition Diffusion Systems
Hetzer, Georg⋅Hetzer, Georg⋅Nguyen, Tung⋅Nguyen, Tung⋅Shen, Wenxian and Shen, Wenxian
Journal of Dynamics and Differential Equations, vol. 22, (no. 3), pp. 561, 2010-09-00. | Journal Article