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Positive Solutions for Third-Order Nonlinear p-Laplacian m-Point Boundary Value Problems on Time Scales
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-02-01
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We study the following third-order p-Laplacian m-point boundary value problems on time scales: (ϕp(uΔ∇))∇+a(t)f(t,u(t))=0, t∈[0,T]T, βu(0)−γuΔ(0)=0, u(T)=∑i=1m−2aiu(ξi), ϕp(uΔ∇(0))=∑i=1m−2biϕp(uΔ∇(ξi)), where ϕp(s) is p-Laplacian operator, that is, ϕp(s)=|s|p−2s, p>1, ϕp−1=ϕq, 1/p+1/q=1, 0<ξ1<⋯<ξm−2<ρ(T).
We obtain the existence of positive solutions by using fixed-point theorem in cones.
The conclusions in this paper essentially extend and improve the known results.
American Psychological Association (APA)
Xu, Fuyi. 2009. Positive Solutions for Third-Order Nonlinear p-Laplacian m-Point Boundary Value Problems on Time Scales. Discrete Dynamics in Nature and Society،Vol. 2008, no. 2008, pp.1-16.
https://search.emarefa.net/detail/BIM-449176
Modern Language Association (MLA)
Xu, Fuyi. Positive Solutions for Third-Order Nonlinear p-Laplacian m-Point Boundary Value Problems on Time Scales. Discrete Dynamics in Nature and Society No. 2008 (2008), pp.1-16.
https://search.emarefa.net/detail/BIM-449176
American Medical Association (AMA)
Xu, Fuyi. Positive Solutions for Third-Order Nonlinear p-Laplacian m-Point Boundary Value Problems on Time Scales. Discrete Dynamics in Nature and Society. 2009. Vol. 2008, no. 2008, pp.1-16.
https://search.emarefa.net/detail/BIM-449176
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449176