Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 31, pp. 1-10.

Title: Existence and uniqueness of solutions of nonlinear mixed
       integrodifferential equations with nonlocal condition in Banach Spaces
       
Authors: Machindra B. Dhakne (B. A. Marathwada Univ., Aurangabad, India)
         Haribhau L. Tidke (North Maharashtra Univ., Jalgaon, India

Abstract:
 In this article, we study the existence and uniqueness of mild and
 strong solutions of a nonlinear mixed Volterra-Fredholm
 integrodifferential equation with nonlocal condition in Banach
 spaces. Furthermore, we study continuous dependence of mild
 solutions. Our analysis is based on semigroup theory and Banach
 fixed point theorem.


Submitted April 28, 2010. Published February 18, 2011.
Math Subject Classifications: 45N05, 47B38, 47H10.
Key Words: Existence and uniqueness; mild and strong solutions;
           mixed Volterra-Fredholm; integrodifferential equation;  
	   Banach fixed point theorem; nonlocal condition.