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Existence of Three Positive Solutions for m-Point Discrete Boundary Value Problems with p-Laplacian
Joint Authors
Guo, Yanping
Wei, Wenying
Chen, Yuerong
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-11-11
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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 Using a new fixed point theorem due to Avery and Peterson, we study the existence of at least three positive solutions to the above boundary value problem.
American Psychological Association (APA)
Guo, Yanping& Wei, Wenying& Chen, Yuerong. 2009. Existence of Three Positive Solutions for m-Point Discrete Boundary Value Problems with p-Laplacian. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-15.
https://search.emarefa.net/detail/BIM-479705
Modern Language Association (MLA)
Guo, Yanping…[et al.]. Existence of Three Positive Solutions for m-Point Discrete Boundary Value Problems with p-Laplacian. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-15.
https://search.emarefa.net/detail/BIM-479705
American Medical Association (AMA)
Guo, Yanping& Wei, Wenying& Chen, Yuerong. Existence of Three Positive Solutions for m-Point Discrete Boundary Value Problems with p-Laplacian. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-15.
https://search.emarefa.net/detail/BIM-479705
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-479705