IMPULSIVE PERTURBATION OF C0-SEMIGROUPS BY OPERATOR VALUED MEASURES

Abstract

In this paper we consider a class of impulsive systems in which the basic C0 semigroup is perturbed by an operator valued measure. We prove existence, uniqueness and regularity properties of solutions from which we deduce the properties of the evolution (transition) operator. Using these transition operators we also study some related semilinear problems.