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J4 ›› 2012, Vol. 47 ›› Issue (2): 42-46.

• 论文 • 上一篇    下一篇

差分方程的伪概周期解

郭莹   

  1. 枣庄学院数学与统计学院, 山东 枣庄 277160
  • 收稿日期:2010-03-28 出版日期:2012-02-20 发布日期:2012-12-24
  • 作者简介:郭莹(1981- ),女,硕士,助教,研究方向为微分方程概周期解. Email:guoyinglll@163.com

Pseudo almost solutions of difference equations

GUO Ying   

  1. College of Mathematics and Statistics, Zaozhuang University, Zaozhuang 277160, Shandong, China
  • Received:2010-03-28 Online:2012-02-20 Published:2012-12-24

摘要:

利用指数型二分性、不动点等方法,研究了线性差分方程系统和非线性差分方程系统的伪概周期解存在性,从而将微分方程系统中伪概周期解存在性的结果推广到了差分方程,得出了差分方程伪概周期解存在性的充分条件。

关键词: 伪概周期解;一致伪概周期函数;不动点;指数型二分性

Abstract:

 Pseudo almost periodic solutions of the linear difference systems and the nonlinear difference systems are investigated by using exponential dichotomy and fixed point theorem, which extend some results of pseudo almost solutions for differential equations.

Key words: pseudo almost periodic solutions; uniformly pseudo almost periodic function; fixed point; exponential dichotomy

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