Rahima Atmania
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.
Show me the PDF file (189 KB), TEX file, and other files for this article.
Rahima Atmania Laboratory of Applied Mathematics (LMA) Department of Mathematics, University of Badji Mokhtar Annaba P.O. Box 12, Annaba 23000, Algeria email: atmanira@yahoo.fr |
Return to the EJDE web page