Existence and Multiplicity of Positive Solutions of a Nonlinear Discrete Fourth-Order Boundary Value Problem

we show the existence and multiplicity of positive solutions of the nonlinear discrete fourth-order boundary value problem Δ4ut-2=λhtfut, t∈T2, u1=uT+1=Δ2u0=Δ2uT=0, where λ>0, h:T2→(0,∞) is continuous, and f:R→[0,∞) is continuous, T>4, T2=2,3,…,T. The main tool is the Dancer's global bifu...

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Bibliographic Details
Main Authors: Ruyun Ma, Yanqiong Lu
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/918082