Exponential Dichotomy and Existence of Almost Periodic Solutions of Impulsive Differential Equations

被引：0

作者：

Tkachenko V.I. ^{[1
]}

机构：

[1] Institute of Mathematics, Ukrainian National Academy of Sciences, Tereshchenkivska str., 3, Kyiv

来源：

Journal of Mathematical Sciences | 2016年 / 212卷 / 4期

关键词：

Periodic Solution; Green Function; Evolution Operator; Unstable Manifold; Periodic Sequence;

D O I：

10.1007/s10958-015-2677-x

中图分类号：

学科分类号：

摘要：

We establish conditions for the existence of piecewise continuous almost periodic solutions of a system of impulsive differential equations with exponentially dichotomous linear part. The robustness of exponential dichotomy and exponential contraction are investigated for linear systems with small perturbations of the right-hand sides and the points of impulsive action. © 2015, Springer Science+Business Media New York.

引用

页码：490 / 502

页数：12

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