Existence of Periodic Solutions for a Class of Second-Order Nonlinear Difference Systems

Author:

Tan Wei Ming1,Su Fang1

Affiliation:

1. Wuzhou University

Abstract

In this paper, by using critical point theory, a sufficient condition is obtained on the existence of periodic solutions for a class of nonlinear second-order difference systems.

Publisher

Trans Tech Publications, Ltd.

Reference13 articles.

1. R. P. Agarwal. Dfference Equations and Inequalities: Theory, Methods and Applications. Marcel Dekker, New York. (2000).

2. Z. Zhou, J. S. Yu and Z. M. Guo. Periodic solutions of higher-dimensional discrete systems, Proc. Roy. Soc. Edinburgh Sect. A. 2004, 134: 1013-1022.

3. J. S. Yu, Z. M. Guo and X. F. Zou. Periodic solution of second order self-adjoint difference equation, J. London Math. Soc. 2005, 71: 146-160.

4. W. M. Tan, Z. Zhou. Existence of multiple periodic solutions for a class of nonlinear difference systems. Proceedings of the 7th Conference on Biological Dynamic System and Stability of Differential Equation, Vol. II. 2010, 686-692.

5. M. Gil. Periodic solutions of abstract difference equation, Applied Math. E-Notes 2001, 1: 18-23.

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