EXISTENCE OF SOLUTIONS OF NONLINEAR NEUTRAL INTEGRODIFFERENTIAL EQUATIONS OF SOBOLEV TYPE IN BANACH SPACES

Abstract

In this paper we prove the existence of mild solutions of the nonlinear neutral integrodifferential equations of Sobolev type and the nonlinear neutral evolution integrodifferential equations in Banach spaces. The results are obtained by using the Schaefer fixed point theorem. Examples are provided to illustrate the theory.