On the controllability of impulsive neutral mixed type functional integro-differential evolution equations with nonlocal conditions

Abstract

We establish the controllability for a class of abstract nonlocal impulsive neutral mixed-type functional integrodifferential equations with finite delay in a Banach space. Some sufficient conditions for controllability are obtained by using the Monch fixed point theorem via measures of non-compactness and semigroup theory. Particularly, we do not assume the compactness of the evolution system. That is, we are going to establish at less some sufficient conditions for the controllability of an impulsive neutral mixed-type functional integrodifferential system with finite delay and non-local conditions.