Electron. J. Diff. Equ., Vol. 2015 (2015), No. 81, pp. 1-23.

Multiple positive solutions for singular semipositone nonlinear integral boundary-value problems on infinite intervals

Ying Wang

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.

Submitted January 16, 2015. Published March 31, 2015
Math Subject Classifications: 34B16, 34B18, 34B40.
Key Words: Multiple positive solutions; singular semipositone BVP; Guo-Krasnosel'skii fixed point theorem; integral boundary condition.

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Ying Wang
School of Science, Linyi University
Linyi 276000, Shandong, China
email: lywy1981@163.com

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