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

Autor: Jinrong Wang, Yuruo Zhang
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2014, Iss 83,, Pp 1-10 (2014)
Druh dokumentu: article
ISSN: 1072-6691
Popis: 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.
Databáze: Directory of Open Access Journals