Uniqueness and Parameter Dependence of Positive Solution of Fourth-Order Nonhomogeneous BVPs
Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, China
Boundary Value Problems 2010, 2010:106962 doi:10.1155/2010/106962Published: 28 July 2010
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.