A Fourth-Order Boundary Value Problem with One-Sided Nagumo Condition
1 Institute of Mathematics, Jilin University, Changchun 130012, China
2 Institute of Applied Mathematics, Jilin University of Finance and Economics, Changchun 130017, China
Boundary Value Problems 2011, 2011:569191 doi:10.1155/2011/569191Published: 14 March 2011
The aim of this paper is to study a fourth-order separated boundary value problem with the right-hand side function satisfying one-sided Nagumo-type condition. By making a series of a priori estimates and applying lower and upper functions techniques and Leray-Schauder degree theory, the authors obtain the existence and location result of solutions to the problem.