Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 461418, 8 pages
doi:10.1155/2010/461418
Research Article

Existence of Three Positive Solutions to Nonlinear Boundary Value Problems

Li Wang1,2 and Jianli Li1

1Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, China
2Department of Mathematics, Zhuzhou Professional Technology College, Zhuzhou, Hunan 412000, China

Received 10 August 2009; Accepted 21 April 2010

Academic Editor: Victoria Vampa

Copyright © 2010 Li Wang and Jianli Li. 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

Criteria are established for existence of three solutions to the boundary value problems Lx=f(t,x), w1x(0)-w2x′(0)=0=w3x(1)+w4x′(1), where Lx:=-(px′)′+qx. Here, p∈C1[0,1], p>0, q∈C[0,1], q≥0.