The purpose of this paper is to investigate the existence and uniqueness of positive solutions for the following fourth-order boundary value problem: , , . Moreover, under certain assumptions, we will prove that the above boundary value problem has a unique symmetric positive solution. Finally, we present some examples and we compare our results with the ones obtained in recent papers. Our analysis relies on a fixed point theorem in partially ordered metric spaces.
J. Caballero. J. Harjani. K. Sadarangani. "Uniqueness of Positive Solutions for a Class of Fourth-Order Boundary ValueProblems." Abstr. Appl. Anal. 2011 (SI1) 1 - 13, 2011. https://doi.org/10.1155/2011/543035