On nonlinear Volterra-Fredholm functional integrodifferential equations with nonlocal condition in Banach spaces

Machindra B.Dhaknea and Poonam S.Borab,*

On nonlinear Volterra-Fredholm functional integrodifferential equations with nonlocal condition in Banach spaces

Authors :

Machindra B.Dhakne^a and Poonam S.Bora^b,*

Author Address :

^a,bDepartment of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad - 431004, Maharashtra, India.

*Corresponding author.

Abstract :

In this paper we study the existence, uniqueness and continuous dependence of solutions of nonlinear Volterra-Fredholm functional integrodi.erential equations with nonlocal condition in Banach space by using the Hausdor’s measure of noncompactness and Darbo-Sadovskii fixed point theorem. An application is provided to illustrate the theory.

Keywords :

Volterra-Fredholm functional integrodifferential equation, nonlocal condition, Hausdor.’s measure of noncompactness, Darbo-Sadovskii fixed point theorem.

DOI :

Article Info :

Received : May 10, 2013; Accepted : July 08, 2013.