Periodic solutions of higher-dimensional discrete systems

Royal Society of Edinburgh - Proceedings A

Volumn 134, Issue 5, 2004, Pages 1013-1022

  Zhou, Zhan ^a   Yu, Jianshe ^a   Guo, Zhiming ^a  

^a GUANGZHOU UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 10044272971     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0308210500003607     Document Type: Conference Paper

References (21)

1. R. P. Agarwal. Difference equations and inequalities: theory, methods and applications (New York: Marcel Dekker, 1992).
2. R. P. Agarwal and J. Popenda. Periodic solutions of first order linear difference equations. Math. Comput. Modelling 22 (1995), 11-19.
3. R. P. Agarwal and E. Yu. Romanenko. Stable periodic solutions of difference equations. Appl. Math. Lett. 11 (1998), 81-84.
4. R. P. Agarwal and W. Zhang. Periodic solutions of difference equations with general periodicity. Comput. Math. Appl. 42 (2001). 719-727.
5. S. N. Elaydi. An introduction to difference equations (Springer, 1999).
6. L. H. Erbe, H. Xia and J. S. Yu. Global stability of a linear nonautonomous delay difference equations. J. Diff. Eqns Applic. 1 (1995), 151-161.
7. Z. M. Guo and J. S. Yu. Existence of periodic and subharmonic solutions for second-order superlinear difference equations. Sci. China A 46 (2003), 506-515.
8. Z. M. Guo and J. S. Yu. The existence of periodic and subharmonic solutions to subquadratic second-order difference equations. J. Lond. Math. Soc. 68 (2003), 419-430.
9. I. Györi and G. Ladas. Oscillation theory of delay differential equations with applications (Oxford University Press, 1991).
10. V. L. Kocic and G. Ladas. Global behavior of nonlinear difference equations of higher order with applications (Dordrecht: Kluwer Academic, 1993).
11. J. Q. Liu and Z. Q. Wang. Remarks on subharmonics with minimal periods of Hamiltonian systems. Nonlin. Analysis 7 (1993), 803-821.
12. H. Matsunaga, T. Hara and S. Sakata. Global attractivity for a nonlinear difference equation with variable delay. Comput. Math. Appl. 41 (2001), 543-551.
13. J. Mawhin and M. Willem. Critical point theory and Hamiltonian systems (Springer, 1989).
14. P. Y. H. Pang and R. P. Agarwal. On periodicity of difference equations of a general type. J. Diff. Eqns Applic. 2 (1996). 271-287.
15. P. H. Rabinowitz. Minimax methods in critical point theory with applications to differential equations. Conference Board of the Mathematical Sciences, Regional Conference Series in Applied Mathematics, vol. 65 (Providence, RI: American Mathematical Society, 1986).
16. X. H. Tang and J. S. Yu. Oscillation of nonlinear delay difference equations. J. Math. Analysis Applic. 249 (2000), 476-490.
17. p index theory to periodic solutions for a class of functional differential equations. J. Math. Analysis Applic. 257 (2001), 189-205.
18. J. S. Yu. Asymptotic stability for a linear difference equation with variable delay. Comput. Math. Appl. 36 (1998), 203-210.
19. Z. Zhou. Periodic orbits on discrete dynamical systems. Comput. Math. Appl. 45 (2003), 1155-1161.
20. Z. Zhou and J. Wu. Attractive periodic orbits in nonlinear delayed discrete-time neural networks with delayed feedback. J. Diff. Eqns Applic. 8 (2002), 467-483.
21. Z. Zhou and Q. Zhang. Uniform stability of nonlinear difference systems. J. Math. Analysis Applic. 225 (1998), 486-500.