Electronic Journal of Differential Equations,
Vol. 2014 (2014), No. 83, pp. 1-10.

Title: Existence and stability of solutions to  nonlinear 
       impulsive differential equations in beta-normed spaces

Authors: Jinrong Wang (Guizhou Univ., Guiyang, Guizhou, China)
         Yuruo Zhang  (Guizhou Univ., Guiyang, Guizhou, China)

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.