• GLOBAL EXISTENCE OF SOLUTIONS FOR NONLINEAR NONLOCAL VOLTERRA INTEGRODIFFERENTIAL EQUATIONS

Abstract

We prove the global existence of solutions of nonlinear second order nonlocal Volterra integrodifferential equations in a Banach space. The technique used in our analysis is based on an application of the topological transversality theorem known as Leray-Schauder alternative and rely on a priori bounds of solutions.