Positive solutions for fourth-order second-point nonhomogeneous singular boundary value problems
Abstract
In this paper, we investigate the fourth-order second-point nonhomogeneous singular boundary value problem. We study the existence and nonexistence of positive solutions and the dependence of the solutions on the parametersα, β, λ, μ for the above boundary value problems. The proof of our main results is based upon the Guo-Krasnoselskii fixed point theorem and Schauders fixed point theorem.
Copyright © 2014 Wenguo Shen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
W. Shen, Positive solutions for fourth-order second-point nonhomogeneous singular boundary value problems, Adv. Fixed Point Theory 5 (2015), 88–100.
BibTeX
@article{Shen2015,
author = {Shen, Wenguo},
title = {Positive solutions for fourth-order second-point nonhomogeneous singular boundary value problems},
journal = {Adv. Fixed Point Theory},
volume = {5},
year = {2015},
pages = {88--100},
doi = {}
}