Existence of Three Positive Solutions for m-Point Discrete Boundary Value Problems with p-Laplacian
We consider the multi-point discrete boundary value problem with one-dimensional p-Laplacian operator Δ(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<n−1 and ai∈(0,1...
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Main Authors: | Yanping Guo, Wenying Wei, Yuerong Chen |
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Format: | Article |
Language: | English |
Published: |
Wiley
2009-01-01
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Series: | Discrete Dynamics in Nature and Society |
Online Access: | http://dx.doi.org/10.1155/2009/538431 |
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