Open AccessExistence and Multiplicity of Positive Solutions of a Nonlinear Discrete Fourth-Order Boundary Value Problem
Author(s) -
Ruyun Ma,
Yanqiong Lu
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/918082
Subject(s) - algorithm , computer science
we show the existence and multiplicity of positive solutions of the nonlineardiscrete 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 bifurcation theorem
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