Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 39, pp. 1-8.

Title: Existence of positive solutions to some impulsive second-order
       integrodifferential equations
       
Author: Rahima Atmania (Univ. of Badji Mokhtar Annaba, Algeria)
	 
Abstract:
 In this article, we consider  an initial-value problem for
 second-order nonlinear integrodifferential equations with impulses
 in a Banach space. By using the monotone iterative technique in
 a cone together with Arzela-Ascoli theorem and the dominated
 convergence theorem, we establish the existence of positive
 solutions of such a problem.

Submitted January 27, 2010. Published March 16, 2010.
Math Subject Classifications: 34A37, 34G20.
Key Words: Integrodifferential equation; impulses; positive solution;
           cone theory; Arzela-Ascoli theorem.