Boundary Value Problems
Volume 2009 (2009), Article ID 393259, 9 pages
doi:10.1155/2009/393259
Research Article

Positive Solutions for Some Beam Equation Boundary Value Problems

Jinhui Liu1,2 and Weiya Xu3

1Department of Civil Engineering, Hohai University, Nanjing 210098, China
2Zaozhuang Coal Mining Group Co., Ltd, Jining 277605, China
3Graduate School, Hohai University, Nanjing 210098, China

Received 2 September 2009; Accepted 1 November 2009

Academic Editor: Wenming Zou

Copyright © 2009 Jinhui Liu and Weiya Xu. 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

A new fixed point theorem in a cone is applied to obtain the existence of positive solutions of some fourth-order beam equation boundary value problems with dependence on the first-order derivative u(iυ)(t)=f(t,u(t),u′(t)),0<t<1,u(0)=u(1)=u′′(0)=u′′(1)=0, where f:[0,1]×[0,∞)×R→[0,∞) is continuous.