Existence Results for a Second Order Impulsive Neutral Functional Differential Inclusions in Banach Spaces with Infinite Delay

Abstract

A fixed point theorem for condensing maps due to Martelli combined with theories of a strongly continuous cosine family of bounded linear operators is used to investigate the existence of solutions to second order impulsive neutral functional differential inclusions with infinite delay in Banach spaces. An example is provided to illustrate the theory.