On mild solutions of nonlocal semilinear functional integro-differential equations

Rupali S. Jaina,* and M. B. Dhakneb

On mild solutions of nonlocal semilinear functional integro-differential equations

Authors :

Rupali S. Jain^a,* and M. B. Dhakne^b

Author Address :

^aSchool of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded-431606, India.
^bDepartment of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad-431004, India.

*Corresponding author.

Abstract :

In the present paper, we investigate the existence, uniqueness and continuous dependence on initial data of mild solutions of first order nonlocal semilinear functional integro-di.erential equations of more general type with delay in Banach spaces. Our analysis is based on semigroup theory and modified version of Banach contraction theorem.

Keywords :

Existence, delay, functional, integro-differential equation, fixed point, semigroup theory.

DOI :

Article Info :

Received : March 28, 2013; Accepted : May 05, 2013.