Geodesic
Existence and stability of solutions to nonlinear impulsive differential equations in beta-normed spaces
Electronic journal of differential equations, Tome 2014 (2014)
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.
Classification : 34A37, 34D10
Keywords: nonlinear impulsive differential equations, existence, stability 
@article{EJDE_2014__2014__a82,
     author = {Wang,  Jinrong and Zhang,  Yuruo},
     title = {Existence and stability of solutions to nonlinear impulsive differential equations in beta-normed spaces},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1307.34094},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a82/}
}
TY  - JOUR
AU  - Wang,  Jinrong
AU  - Zhang,  Yuruo
TI  - Existence and stability of solutions to nonlinear impulsive differential equations in beta-normed spaces
JO  - Electronic journal of differential equations
PY  - 2014
VL  - 2014
UR  - http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a82/
LA  - en
ID  - EJDE_2014__2014__a82
ER  - 
%0 Journal Article
%A Wang,  Jinrong
%A Zhang,  Yuruo
%T Existence and stability of solutions to nonlinear impulsive differential equations in beta-normed spaces
%J Electronic journal of differential equations
%D 2014
%V 2014
%U http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a82/
%G en
%F EJDE_2014__2014__a82
Wang,  Jinrong; Zhang,  Yuruo. Existence and stability of solutions to nonlinear impulsive differential equations in beta-normed spaces. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a82/