Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 55, pp. 1-7.

Title: Existence of global solutions to nonlinear mixed
       Volterra-Fredholm integrodifferential equations with 
       nonlocal conditions
   
Author: Haribhau L. Tidke (North Maharashtra Univ., India)

Abstract:
 In this paper, we investigate the  existence of global
 solutions to first-order initial-value problems, with nonlocal
 condition for nonlinear mixed Volterra-Fredholm
 integrodifferential equations in Banach spaces. 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 solution.
 
Submitted April 11, 2008. Published April 21, 2009.
Math Subject Classifications: 45N05, 47G20, 34K30, 47D09.
Key Words: Global solution; Volterra-Fredholm integrodifferential equation;
           Leray-Schauder alternative; priori bounds; nonlocal condition.