Geodesic
Existence and stability of solutions to nonlinear impulsive differential equations in beta-normed spaces
Electronic Journal of Differential Equations, Tome 2014 (2014).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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__a182,
     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},
     publisher = {mathdoc},
     volume = {2014},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a182/}
}
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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__a182/