Boundary Value Problems
Volume 2010 (2010), Article ID 961496, 12 pages
doi:10.1155/2010/961496
Existence of positive solutions for nonlinear eigenvalue problems
Sheng-Ping Wang1
, Fu-Hsiang Wong2
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
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.