Anti-periodic solutions for a class of nonlinear discrete perturbed systems

doi:10.3969/j.issn.1000-5641.2019.06.001

Abstract

Abstract: In this paper, anti-periodic solutions for a class of nonlinear discrete perturbed systems with exponential dichotomy are studied. By means of the Banach fixed point theorem, new sufficient conditions for the existence and uniqueness of anti-periodic solutions for nonlinear discrete perturbed systems are established. An example is given to illustrate the results we obtained.

Key words: perturbed systems, exponential dichotomy, anti-periodic solution, Banach fixed point theorem

CLC Number:

O175.7

MENG Xin. Anti-periodic solutions for a class of nonlinear discrete perturbed systems[J]. Journal of East China Normal University(Natural Sc, 2019, 2019(6): 1-6.

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