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.
引用
收藏
页数：10
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