THE PERTURBATION OF ALMOST PERIODIC SOLUTION OF ALMOST PERIODIC SYSTEM

被引：0

作者：

林振声 ^{[1
]}

机构：

[1] Fuzhou University

来源：

ChineseAnnalsofMathematics | 1984年 / 03期

关键词：

Th; exp; THE PERTURBATION OF ALMOST PERIODIC SOLUTION OF ALMOST PERIODIC SYSTEM;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

By using the exponential dichotomy and the averaging method,a perturbation theoryis established for the almost periodic solutions of an almost differential system.Suppose that the almost periodic differential system（dx）/（dt）=f（x,t）+ε2g（x,t,ε）（1）has an almost periodic solution x=x0（t,M）for ε=0,where M=（m1,…,mk）is theparameter vector.The author discusses the conditions under which（1）has an almostperiodic solution x=x（t,ε）such that x（t,ε）=x0（t,M）holds uniformly.The results obtained are quite complete.

引用

页码：363 / 373

页数：11

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