Integrodifferential equations with nonlocal conditions

Abstract

This paper is mainly concerned with existence of mild solutions for the first order impulsive neutral integrodifferential equations with nonlocal conditions in −norm. We assume that the linear part generates an analytic semigroup and transforms them into suitable integral equations.

By using a fixed point theorem for condensing maps, some existence theorems are established. An application of the main theorem, some practical consequences are derived. Finally an application is also given to illustrate the results.