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