ON THE STABILITY OF FIRST ORDER IMPULSIVE EVOLUTION EQUATIONS

被引：38
作者：
Wang, JinRong [1 ,2 ]
Feckan, Michal [3 ,4 ]
Zhou, Yong [5 ]
机构：
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
[2] Guiyang Sch Math & Comp Sci, Guizhou Normal Coll, Guiyang 550018, Guizhou, Peoples R China
[3] Comenius Univ, Fac Math Phys & Informat, Dept Math Anal & Numer Math, Bratislava, Slovakia
[4] Slovak Acad Sci, Math Inst, Bratislava 81473, Slovakia
[5] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China
来源：
OPUSCULA MATHEMATICA | 2014年 / 34卷 / 03期
基金：
中国国家自然科学基金;
关键词：
first order; impulsive evolution equations; Ulam-Hyers-Rassias stability;
D O I：
10.7494/OpMath.2014.34.3.639
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, concepts of Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for impulsive evolution equations are raised. Ulam-Hyers-Rassias stability results on a compact interval and an unbounded interval are presented by using an impulsive integral inequality of the Gronwall type. Two examples are also provided to illustrate our results. Finally, some extensions of the Ulam-Hyers-Rassias stability for the case with infinite impulses are given.
引用
收藏
页码：639 / 657
页数：19
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