Geodesic
Multiple positive solutions for singular semipositone nonlinear integral boundary-value problems on infinite intervals
Electronic Journal of Differential Equations, Tome 2015 (2015).

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Summary: In this article, we study the existence of multiple positive solutions for singular semipositone boundary-value problem (BVP) with integral boundary conditions on infinite intervals. By using the properties of the Green's function and the Guo-Krasnosel'skii fixed point theorem, we obtain the existence of multiple positive solutions under conditions concerning the nonlinear functions. The method in this article can be used for a large number of problems. We illustrate the validity of our results with an example in the last section.
Classification : 34B16, 34B18, 34B40
Keywords: multiple positive solutions, singular semipositone BVP, guo-Krasnoselskii fixed point theorem, integral boundary condition 
@article{EJDE_2015__2015__a98,
     author = {Wang, Ying},
     title = {Multiple positive solutions for singular semipositone nonlinear integral boundary-value problems on infinite intervals},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2015},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a98/}
}
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Wang, Ying. Multiple positive solutions for singular semipositone nonlinear integral boundary-value problems on infinite intervals. Electronic Journal of Differential Equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a98/