Boundary Value Problems
Volume 2007 (2007), Article ID 23108, 12 pages
Research Article

Positive Solutions for Two-Point Semipositone Right Focal Eigenvalue Problem

Yuguo Lin and Minghe Pei

Department of Mathematics, Bei Hua University, JiLin City 132013, China

Received 28 March 2007; Revised 13 July 2007; Accepted 27 August 2007

Academic Editor: P. Joseph McKenna

Copyright © 2007 Yuguo Lin and Minghe Pei. 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.


Krasnoselskii's fixed-point theorem in a cone is used to discuss the existence of positive solutions to semipositone right focal eigenvalue problems (1)npu(n)(t)=λf(t,u(t),u'(t),,u(p1)(t)), u(i)(0)=0, 0ip1, u(i)(1)=0, pin1, where n2, 1pn1 is fixed, f:[0,1]×[0,)p(,) is continuous with f(t,u1,u2,,up)M for some positive constant M.