EXISTENCE AND STABILITY OF SOLUTIONS TO NONLINEAR IMPULSIVE DIFFERENTIAL EQUATIONS IN β-NORMED SPACES

被引：0

作者：

Wang, Jinrong ^{[1
,2
]}

Zhang, Yuruo ^{[1
]}

机构：

[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China

[2] Guizhou Normal Coll, Sch Math & Comp Sci, Guiyang 550018, Guizhou, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

基金：

中国国家自然科学基金;

关键词：

Nonlinear impulsive differential equations; existence; stability; HYERS-ULAM STABILITY; RASSIAS STABILITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider nonlinear impulsive differential equations in beta-normed spaces. We give new concepts of beta-Ulam's type stability. Also we present sufficient conditions for the existence of solutions for impulsive Cauchy problems. Then we obtain generalized beta-Ulam-Hyers-Rassias stability results for the impulsive problems on a compact interval. An example illustrates our main results.

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页数：10

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