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具多时滞和离散时间非自治互惠系统的正周期解

郭微

吉林大学学报(理学版)2013,Vol.51Issue(1):64-68,5.
吉林大学学报(理学版)2013,Vol.51Issue(1):64-68,5.

具多时滞和离散时间非自治互惠系统的正周期解

Positive Periodic Solution of a Discrete Time Nonautonomous Cooperative System with Several Delays

郭微1

作者信息

  • 1. 北华大学数学学院,吉林吉林132013
  • 折叠

摘要

Abstract

We studied the existence of positive periodic solutions for a nonautonomous cooperative system with discrete time and several delays by means of the continuation theorem based on coincidence degree theory. One bounded open set was obtained by virtue of analytic technique. With the help of the coincidence degree theory, a set of sufficient conditions for this system to have at least one positive periodic solution were obtained. The research result reveals the nonautonomous cooperative system with discrete time and several delays will produce periodic oscillation of biological nature, and the time delay is harmless.

关键词

互惠系统/多时滞/正周期解/重合度理论

Key words

cooperative system/ several delays/ positive periodic solution/ coincidence degree theory

分类

数理科学

引用本文复制引用

郭微..具多时滞和离散时间非自治互惠系统的正周期解[J].吉林大学学报(理学版),2013,51(1):64-68,5.

基金项目

国家自然科学基金(批准号:10426108). (批准号:10426108)

吉林大学学报(理学版)

OA北大核心CSCDCSTPCD

1671-5489

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