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

Positive solutions for some beam equation boundary value problems

Jinhui Liu1 and Weiya Xu2

1Department of Civil Engineering, Hohai University, Nanjing 210098, China
 2Graduate School, Hohai University, Nanjing 210098, China

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.