Journal of East China Normal University(Natural Science) >

2022 , Vol. 2022 >Issue 6: 38 - 43

DOI: https://doi.org/10.3969/j.issn.1000-5641.2022.06.005

Mathematics

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

  • Xin MENG
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  • College of Mathematics, Jilin Normal University, Siping, Jilin　136000, China

Received date: 2021-03-23

  Online published: 2022-11-22

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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

Cite this article

Xin MENG . Existence of anti-periodic solutions for a class of nonlinear discrete dynamical systems[J]. Journal of East China Normal University(Natural Science), 2022 , 2022(6) : 38 -43 . DOI: 10.3969/j.issn.1000-5641.2022.06.005

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