Convergence to periodic solutions in periodic quasimonotone reaction-diffusion systems

Journal of Mathematical Analysis and Applications

Volumn 268, Issue 1, 2002, Pages 25-40

  Wang, Yi ^a  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

Convergence; Periodic solutions; Poincar map; Quasimonotone reaction diffusion systems

Indexed keywords

EID: 0036538251     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2001.7777     Document Type: Article

References (24)

1. On stabilization of discrete monotone dynamical systems
2. Discrete order preserving semigroups and stability for periodic parabolic differential equations
3. Stability of fixed points for order-preserving discrete-time dynamical systems
4. Global asymptotics in some quasimonotone reaction-diffusion systems with delays
5. Stability and convergence in strongly monotone dynamical systems
6. The dynamical systems approach to differential equations
7. Sublinear discrete-time order-preserving dynamical systems
8. n with every fixed point stable
9. On the global stability of cooperative systems
10. Strongly comparison principle in nonlinear parabolic equations
11. Convergence in smooth strongly monotone flows defined by semilinear parabolic equations
12. Convergence to cycles as a typical asymptotic behavior in smoothly monotone discrete-time dynamical systems
13. Exponential separation and invariant bundles for maps in ordered Banach spaces with application in parabolic equations
14. Quasiconvergence and stability for strongly order-preserving semiflows
15. Convergence for strongly order-preserving semiflows
16. Cooperative systems of differential equations with concave nonlinearities
17. "Monotone Dynamical Systems, An Introduction to the Theory of Competitive and Cooperative Systems," Mathematical Surveys and Monographs
18. Convergence to equilibrium on invariant d-hypersurfaces for strongly increasing discrete-time semigroups
19. Asymptotic behavior of discrete-time semigroups of sublinear, strongly increasing mapping with applications to biology
20. 1 smooth strongly monotone discrete-time dynamical systems
21. "Geometric Theory of Semilinear Parabolic Equations,"
22. Global attractivity and stability in some monotone discrete dynamical systems