Jinrong Wang, Yuruo Zhang
Abstract:
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.
Submitted February 3, 2014. Published March 26, 2014.
Math Subject Classifications: 34A37, 34D10
Key Words: Nonlinear impulsive differential equations; existence; stability.
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Jinrong Wang Department of Mathematics, Guizhou University Guiyang, Guizhou 550025, China email: sci.jrwang@gzu.edu.cn | |
Yuruo Zhang Department of Mathematics, Guizhou University Guiyang, Guizhou 550025, China email: yrzhangmath@126.com |
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