华东师范大学学报（自然科学版） >

2019 , Vol. 2019 >Issue 6: 1 - 6

DOI: https://doi.org/10.3969/j.issn.1000-5641.2019.06.001

数学

一类非线性离散扰动系统的反周期解

  • 孟鑫
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  • 吉林师范大学 数学学院, 吉林 四平 136000
孟鑫,男,博士,副教授,研究方向为动力系统.E-mail:mqym@sina.cn.

收稿日期: 2018-09-13

  网络出版日期: 2019-11-26

基金资助

国家自然科学基金（10971084）；吉林省教育厅"十三五"科学技术项目（JJKH20170368KJ）；吉林师范大学博士启动项目（吉师博2016002号）

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

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

Received date: 2018-09-13

  Online published: 2019-11-26

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摘要

研究了一类具有指数型二分性非线性离散扰动系统的反周期解.应用Banach不动点定理，给出了非线性离散扰动系统存在唯一反周期解的充分条件，并通过例子说明了主要结论在实际问题中的应用.

关键词： 扰动系统; 指数型二分性; 反周期解; Banach不动点定理

本文引用格式

孟鑫 . 一类非线性离散扰动系统的反周期解[J]. 华东师范大学学报（自然科学版）, 2019 , 2019(6) : 1 -6 . DOI: 10.3969/j.issn.1000-5641.2019.06.001

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

参考文献

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