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Triple Positive Solutions for Third-Order m-Point Boundary Value Problems on Time Scales
Joint Authors
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
2009-08-02
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We study the following third-order m-point boundary value problems on time scales (φ(uΔ∇))∇+a(t)f(u(t))=0, t∈[0,T]T, u(0)=∑i=1m−2biu(ξi), uΔ(T)=0, φ(uΔ∇(0))=∑i=1m−2ciφ(uΔ∇(ξi)), where φ:R→R is an increasing homeomorphism and homomorphism and φ(0)=0, 0<ξ1<⋯<ξm−2<ρ(T).
We obtain the existence of three 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)
Liu, Jian& Xu, Fuyi. 2009. Triple Positive Solutions for Third-Order m-Point Boundary Value Problems on Time Scales. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-15.
https://search.emarefa.net/detail/BIM-447402
Modern Language Association (MLA)
Liu, Jian& Xu, Fuyi. Triple Positive Solutions for Third-Order m-Point Boundary Value Problems on Time Scales. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-15.
https://search.emarefa.net/detail/BIM-447402
American Medical Association (AMA)
Liu, Jian& Xu, Fuyi. Triple Positive Solutions for Third-Order m-Point Boundary Value Problems on Time Scales. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-15.
https://search.emarefa.net/detail/BIM-447402
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-447402