Discrete Dynamics in Nature and Society
Volume 2007 (2007), Article ID 60534, 10 pages
Research Article

Existence of Triple Positive Solutions for Second-Order Discrete Boundary Value Problems

Yanping Guo, Jiehua Zhang, and Yude Ji

Department of Mathematics, Hebei University of Science and Technology, Shijiazhuang 050018, Hebei, China

Received 20 September 2006; Accepted 14 November 2006

Copyright © 2007 Yanping Guo 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.


By using a new fixed-point theorem introduced by Avery and Peterson (2001), we obtain sufficient conditions for the existence of at least three positive solutions for the equation Δ2x(k1)+q(k)f(k,x(k),Δx(k))=0, for k{1,2,,n1}, subject to the following two boundary conditions: x(0)=x(n)=0 or x(0)=Δx(n1)=0, where n3.