Existence results for some neutral functional integrodifferential equations with bounded delay

Abstract

In this paper, we study a class of neutral functional integrodifferential equations with finite delay in Banachspaces. We are interested in the global existence, uniqueness of mild solutions with values in the Banach space and inits subspace D(A): The results are based on Banach’s and Schauder’s fixed point theorems and on the technique ofequivalent norms. As an application, we consider a diffusion neutral functional integrodifferential equation.