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Open Access Research Article

A Fourth-Order Boundary Value Problem with One-Sided Nagumo Condition

Wenjing Song12* and Wenjie Gao1

Author Affiliations

1 Institute of Mathematics, Jilin University, Changchun 130012, China

2 Institute of Applied Mathematics, Jilin University of Finance and Economics, Changchun 130017, China

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Boundary Value Problems 2011, 2011:569191  doi:10.1155/2011/569191

Published: 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.