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.
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| Rahima Atmania |
Laboratory of Applied Mathematics (LMA)
Department of Mathematics, University of Badji Mokhtar Annaba
P.O. Box 12, Annaba 23000, Algeria
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