Stability of solutions of monotone systems of impulsive differential equations

被引：0
|
作者：
A. I. Dvirnyi
V. I. Slyn’ko
机构：
[1] Hedmark University College,Institute of Mechanics
[2] National Academy of Sciences,undefined
来源：
Differential Equations | 2012年 / 48卷
关键词：
Cauchy Problem; Asymptotic Stability; Comparison System; Comparison Principle; Lyapunov Stable;
D O I：
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学科分类号：
摘要：
We obtain sufficient conditions for the stability of solutions of nonlinear systems of impulsive differential equations in a cone. The main tool in our study is the comparison principle suggested in the paper. This approach permits one to study critical cases; it is illustrated by examples of nonlinear systems for which the trivial orbit of the continuous and discrete components is simultaneously unstable.
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页码：318 / 327
页数：9
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