Existence Results for Second Order Neutral Integrodifferential Equations of Sobolev Type in Banach Spaces

Bheeman Radhakrishnan

Abstract

In this paper, we established the existence of mild solution for second order nonlinearimpulsive integrodifferential equation of Sobolev type with nonlocal initial conditions.The results are obtained by using strongly continuous cosine families of operators andthe fixed point approach. An example is provided to illustrate the theory.