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Existence of Three Positive Solutions form-Point Discrete Boundary Value Problems withp-Laplacian
Author(s) -
Yanping Guo,
Wenying Wei,
Yuerong Chen
Publication year - 2009
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2009/538431
Subject(s) - algorithm , computer science
We consider the multi-point discrete boundary value problem with one-dimensional p-Laplacian operatorΔ(ϕp(Δu(t−1))+q(t)f(t,u(t),Δu(t))=0, t∈{1,…,n−1} subject to the boundary conditions: u(0)=0, u(n)=∑i=1m−2aiu(ξi), where ϕp(s)=|s|p−2s,p>1,ξi∈{2,…,n−2} with 1<ξ1<⋯<ξm−2

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