数学物理学报

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一类非齐次时滞微分方程概周期解的存在性

冯春华   

  1. 广西师范大学数学系, 桂林 541004
  • 收稿日期:2005-05-12 修回日期:2006-08-25 出版日期:2006-12-25 发布日期:2006-12-25
  • 通讯作者: 冯春华
  • 基金资助:
    国家自然科学基金(1461003)资助

On the Existence of Almost Periodic Solutions for Some

Feng Chunhua   

  1. Department of Mathematics, Guangxi Normal University, Guilin 541004
  • Received:2005-05-12 Revised:2006-08-25 Online:2006-12-25 Published:2006-12-25
  • Contact: Feng Chunhua

摘要: 该文研究一类非齐次时滞微分方程的概周期解, 结合运用指数二分法, 给出了系统存在概周期解的一组充分条件.

关键词: 时滞系统, 指数二分性, 概周期解, 存在性

Abstract: A set of sufficient conditions is derived for the existence of almostperiodic solutions for some nonhomogeneous delay differentialequations by using exponential dichotomy and fixed point theorem.This criterion provides a method for the existence analysis ofalmost periodic solution of some nonhomogeneous time delaysystems.

Key words: Delay differential equation, Exponential dichotomy, Almost periodic solution, Existence

中图分类号: 

  • 34K14