We establish the existence and uniqueness of a positive solution to the following fourth-order value problem: , with the boundary conditions , where and is a nonnegative continuous function on (0, 1) that may be singular at or . We also give the global behavior of such a solution.
Ramzi S. Alsaedi. "Existence and Global Behavior of Positive Solutions for Some Fourth-Order Boundary Value Problems." Abstr. Appl. Anal. 2014 (SI54) 1 - 5, 2014. https://doi.org/10.1155/2014/657926