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 Δ 2 x ( k − 1 ) + q ( k ) f ( k , x ( k ) , Δ x ( k ) ) = 0 , for k ∈ { 1 , 2 , … , n − 1 } , subject to the following t...

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Bibliographic Details
Published in:Discrete Dynamics in Nature and Society 2007-01, Vol.2007, p.323-332
Main Authors: Guo, Yanping, Zhang, Jiehua, Ji, Yude
Format: Article
Language:English
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Summary: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 Δ 2 x ( k − 1 ) + q ( k ) f ( k , x ( k ) , Δ x ( k ) ) = 0 , for k ∈ { 1 , 2 , … , n − 1 } , subject to the following two boundary conditions: x ( 0 ) = x ( n ) = 0 or x ( 0 ) = Δ x ( n − 1 ) = 0 , where n ≥ 3 .
ISSN:1026-0226
1607-887X
DOI:10.1155/2007/60534