Controllability of nonlocal impulsive differential equations with measure of noncompactness

Abstract

Abstract This paper deals with nonlocal conditions of impulsive differential equations with control. Here, we structure the measure of noncompactness and its properties in the space of piecewise continuous functions. Then, we acquire the controllability of impulsive differential equations with nonlocal conditions via compactness condition, Lipschitz conditions by using the Darbo-Sadovskii’s fixed point theorem and the property of noncompactness.