Journal of East China Normal University(Natural Science) ›› 2022, Vol. 2022 ›› Issue (6): 38-43.doi: 10.3969/j.issn.1000-5641.2022.06.005

• Mathematics • Previous Articles     Next Articles

Existence of anti-periodic solutions for a class of nonlinear discrete dynamical systems

Xin MENG()   

  1. College of Mathematics, Jilin Normal University, Siping, Jilin 136000, China
  • Received:2021-03-23 Online:2022-11-25 Published:2022-11-22

Abstract:

This paper explores the existence of anti-periodic solutions for a class of nonlinear discrete dynamical systems with summable dichotomy. Using the Banach fixed-point theorem, sufficient conditions for the existence and uniqueness of anti-periodic solutions for nonlinear discrete dynamical systems are established. Lastly, an example is presented to illustrate the main results.

Key words: summable dichotomy, anti-periodic solution, Banach fixed-point theorem

CLC Number: