IMPULSIVE PERTURBATION OF C0-SEMIGROUPS AND EVOLUTION INCLUSIONS

Abstract

In this paper we consider impulsive perturbation of Csemigroups and construct the corresponding evolution operator which is only strongly right continuous with left hand limits. This is then used in the study of existence uniqueness and regularity properties of solutions of systems governed by semilinear evolution equations and inclusions with impulsively perturbed generator. This is also used in the study of control systems driven by vector measures.