Boundary Value Problems
Volume 2011 (2011), Article ID 569191, 13 pages
doi:10.1155/2011/569191
Research Article

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

Wenjing Song1,2 and Wenjie Gao1

1Institute of Mathematics, Jilin University, Changchun 130012, China
2Institute of Applied Mathematics, Jilin University of Finance and Economics, Changchun 130017, China

Received 10 January 2011; Accepted 9 March 2011

Academic Editor: I. T. Kiguradze

Copyright © 2011 Wenjing Song and Wenjie Gao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.