Stability of impulsive delay differential equations

被引：0
作者：
Zhongli You
JinRong Wang
机构：
[1] Guizhou University,College of Mathematics and Statistics
来源：
Journal of Applied Mathematics and Computing | 2018年 / 56卷
关键词：
Impulsive delayed Cauchy matrix; Impulsive delay differential equations; Asymptotically stability; 34A37; 34D20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we introduce impulsive delayed matrix function and give its norm estimation. With the help of impulsive delayed Cauchy matrix and the variation of constants method, we obtain representation of solutions to linear impulsive delay differential equations. Moreover, we derive some sufficient conditions to guarantee the trivial solution is locally asymptotically stable. Finally, two examples are given to illustrate our theoretical results.
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页码：253 / 268
页数：15
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