• ON GLOBAL EXISTENCE OF NONLINEAR FUNCTIONAL VOLTERRA INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES

Abstract

The purpase of the present paper is to establish the global existence of mild solutions of nonlinear functional Volterra integrodifferential equations of more general type in Banach spaces. An application of the topological transversality theorem known as Leray-Schauder alternative, rely on a priori bounds of solutions, Pachpatte's inequality and semigroup theory are used to investigate our result.