Electron. J. Diff. Equ., Vol. 2010(2010), No. 39, pp. 1-8.

Existence of positive solutions to some impulsive second-order integrodifferential equations

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.

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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
email: atmanira@yahoo.fr

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