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

M. B. Dhakne, H. L. Tidke

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.

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ISSN: 1229-1595 (Print), 2466-0973 (Online)