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

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(k−1)+q(k)f(k,x(k),Δx(k))=0, for k∈{1,2,…,n−1}, subject to the following two boundary conditions: x(0)=x(n)=0 or x(0)...

Full description

Bibliographic Details
Main Authors: Yanping Guo, Jiehua Zhang, Yude Ji
Format: Article
Language:English
Published: Hindawi Limited 2007-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2007/60534