Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, China
Copyright © 2010 Jian-Ping Sun and Xiao-Yun Wang. 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.
We investigate the following fourth-order four-point nonhomogeneous Sturm-Liouville boundary value problem: , , , where and are nonnegative parameters. Some sufficient conditions
are given for the existence and uniqueness of a positive solution. The dependence of the solution
on the parameters is also studied.