• GLOBAL EXISTENCE OF SOLUTIONS FOR NONLINEAR NONLOCAL VOLTERRA INTEGRODIFFERENTIAL EQUATIONS

H. L. Tidke*

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.

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