Stability of noninstantaneous impulsive evolution equations

被引：49
|
作者：
Wang, JinRong [1 ]
机构：
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2017年 / 73卷
基金：
中国国家自然科学基金;
关键词：
Noninstantaneous impulsive; evolution operator; Mild solutions; Asymptotic stability; DIFFERENTIAL-EQUATIONS;
D O I：
10.1016/j.aml.2017.04.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a notation of noninstantaneous impulsive evolution operator, an extension of the classical impulsive evolution operator for linear evolution equations with fixed impulses, which help us to give the concepts of mild solutions to noninstantaneous impulsive Cauchy problems. By characterizing the estimation of noninstantaneous impulsive evolution operator, we establish sufficient conditions to guarantee asymptotic stability of linear and semilinear problems. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：157 / 162
页数：6
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