Geodesic
Existence of positive solutions to some impulsive second-order integrodifferential equations
Electronic Journal of Differential Equations, Tome 2010 (2010).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 34A37, 34G20
Keywords: integrodifferential equation, impulses, positive solution, cone theory, arzela-ascoli theorem 
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     author = {Atmania, Rahima},
     title = {Existence of positive solutions to some impulsive second-order integrodifferential equations},
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     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a220/}
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Atmania, Rahima. Existence of positive solutions to some impulsive second-order integrodifferential equations. Electronic Journal of Differential Equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a220/