Boundary Value Problems
Volume 2010 (2010), Article ID 961496, 12 pages
doi:10.1155/2010/961496
Research Article

Existence of Positive Solutions for Nonlinear Eigenvalue Problems

Sheng-Ping Wang,1 Fu-Hsiang Wong,2 and Fan-Kai Kung2

1Holistic Education Center, Cardinal Tien College of Healthcare and Management, No.171, Zhongxing Rd., Sanxing Township, Yilan County 266, Taiwan
2Department of Mathematics, National Taipei University of Education, 134, Ho-Ping E. Rd, Sec2, Taipei 10659, China

Received 2 June 2009; Accepted 2 February 2010

Academic Editor: Veli Shakhmurov

Copyright © 2010 Sheng-Ping Wang et al. 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

We use a fixed point theorem in a cone to obtain the existence of positive solutions of the differential equation, u″+λf(t,u)=0, 0<t<1, with some suitable boundary conditions, where λ is a parameter.