Geodesic
Multiple positive solutions for integro-differential equations with integral boundary conditions and sign changing nonlinearities
Electronic Journal of Differential Equations, Tome 2012 (2012).

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

Summary: In this article, we show the existence of multiple positive solutions for integro-differential equations with one-dimensional p-Laplacian operator, sign changing nonlinearities, and integral boundary conditions. By using the Schauder fixed point theorem and the Krasnosel'skii fixed point theorem, we obtain sufficient conditions for the existence of at least two positive solutions.
Classification : 34B15, 34B18
Keywords: boundary value problems, p-Laplacian operator, integral boundary conditions, fixed point theorem, multiple positive solutions 
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     author = {Jia, Mei and Wang, Pingyou},
     title = {Multiple positive solutions for integro-differential equations with integral boundary conditions and sign changing nonlinearities},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2012},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a32/}
}
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Jia, Mei; Wang, Pingyou. Multiple positive solutions for integro-differential equations with integral boundary conditions and sign changing nonlinearities. Electronic Journal of Differential Equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a32/