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：

暂无

中图分类号：

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.

引用

页码：318 / 327

页数：9

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