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

Autor: Yanping Guo, Jiehua Zhang, Yude Ji
Jazyk: angličtina
Rok vydání: 2007
Předmět:
Zdroj: Discrete Dynamics in Nature and Society, Vol 2007 (2007)
Druh dokumentu: article
ISSN: 1026-0226
1607-887X
DOI: 10.1155/2007/60534
Popis: 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)=Δx(n−1)=0, where n≥3.
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