一类非线性离散动力系统反周期解的存在性

doi:10.3969/j.issn.1000-5641.2022.06.005

华东师范大学学报（自然科学版） ›› 2022, Vol. 2022 ›› Issue (6): 38-43.doi: 10.3969/j.issn.1000-5641.2022.06.005

一类非线性离散动力系统反周期解的存在性

孟鑫()

吉林师范大学数学学院, 吉林四平　136000

收稿日期:2021-03-23 出版日期:2022-11-25 发布日期:2022-11-22
作者简介:孟　鑫, 男, 博士, 副教授, 研究方向为动力系统. E-mail: xinmeng@jlnu.edu.cn
基金资助:
国家自然科学基金(10971084)

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

Xin MENG()

College of Mathematics, Jilin Normal University, Siping, Jilin　136000, China

Received:2021-03-23 Online:2022-11-25 Published:2022-11-22

摘要/Abstract

摘要：

本文研究了一类具有可求和二分性的非线性离散动力系统反周期解的存在性问题. 应用Banach不动点定理, 给出了非线性离散动力系统存在唯一反周期解的一些充分条件. 最后通过实例说明了主要结论在实际问题中的应用.

关键词: 可求和二分性, 反周期解, Banach不动点定理

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

中图分类号:

O175.12

孟鑫. 一类非线性离散动力系统反周期解的存在性[J]. 华东师范大学学报（自然科学版）, 2022, 2022(6): 38-43.

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.

参考文献 12

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一类非线性离散动力系统反周期解的存在性

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

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