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Existence and Multiplicity of Positive Solutions of a Nonlinear Discrete Fourth-Order Boundary Value Problem
Joint Authors
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-12
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
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 bifurcation theorem.
American Psychological Association (APA)
Ma, Ruyun& Lu, Yanqiong. 2012. Existence and Multiplicity of Positive Solutions of a Nonlinear Discrete Fourth-Order Boundary Value Problem. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-508030
Modern Language Association (MLA)
Ma, Ruyun& Lu, Yanqiong. Existence and Multiplicity of Positive Solutions of a Nonlinear Discrete Fourth-Order Boundary Value Problem. Abstract and Applied Analysis No. 2012 (2012), pp.1-17.
https://search.emarefa.net/detail/BIM-508030
American Medical Association (AMA)
Ma, Ruyun& Lu, Yanqiong. Existence and Multiplicity of Positive Solutions of a Nonlinear Discrete Fourth-Order Boundary Value Problem. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-17.
https://search.emarefa.net/detail/BIM-508030
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-508030