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：
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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.
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页码：363 / 373
页数：11
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