ON A NONLINEAR MIXED VOLTERRA-FREDHOLM INTEGRODIFFERENTIAL EQUATION WITH NONLOCAL CONDITION IN BANACH SPACES

Abstract

In the present paper we study the existence of solutions of nonlinear mixed Volterra-Fredholm integrodifferential equations in Banach spaces with nonlocal condition. The technique used in our analysis is based on an application of the topological transversality theorem known as Leray-Schauder alternative, rely on a priori bounds of solutions and the inequality established by Pachpatte.