We study the existence and uniqueness of mild and classical solutions for a general class of abstract impulsive differential equations with state-dependent impulses. Some examples on partial differential equations are presented.

We establish the existence of mild solutions for a class of impulsive second-order partial neutral functional differential equations with infinite delay in a Banach space. (C) 2009 Published by Elsevier Ltd

We consider a class of retarded functional differential equations with preas-signed moments of impulsive effect and we study the Lipschitz stability of solutions of these equations using the theory of generalized ordinary ...

We are concerned with the effect of impulses in retarded functional differential equations. By using fixed point techniques we prove the existence of periodic solutions of some impulsive equations. For a system of retarded ...

We are concerned with the effect of impulses in retarded functional differential equations. By using fixed point techniques we prove the existence of periodic solutions of some impulsive equations. For a system of retarded ...

We prove a periodic averaging theorem for generalized ordinary differential equations and show that averaging theorems for ordinary differential equations with impulses and for dynamic equations on time scales follow easily ...

In this paper we introduce a new class of abstract integral equations which enables us to study in a unified manner several different types of differential equations. (C) 2012 Elsevier Inc. All rights reserved.

In this note we study the existence of global solutions for a class of impulsive abstract differential equations with non-instantaneous impulses. Specifically, we establish the existence of mild solutions on and the existence ...