Geodesic
Existence of positive solutions to some impulsive second-order integrodifferential equations
Electronic journal of differential equations, Tome 2010 (2010)
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 
@article{EJDE_2010__2010__a20,
     author = {Atmania,  Rahima},
     title = {Existence of positive solutions to some impulsive second-order integrodifferential equations},
     journal = {Electronic journal of differential equations},
     year = {2010},
     volume = {2010},
     zbl = {1201.34129},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a20/}
}
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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__a20/