Controllability Results for Second Order Impulsive Neutral Functional Integrodifferential Equations with Infinite Delay

Abstract

In this paper, we establish some sufficient conditions for controllability of certain class of impulsive second order neutral functional differential equations with infinite delay in Banach spaces. The results are obtained by using Monch fixed point theorem via Hausdorff measure of noncompactness without the compactness assumption on the  cosine family of bounded linear operators.