Existence of Positive Solutions for 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.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-03-08
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We study the one-dimensional p-Laplacian m-point boundary value problem (φp(uΔ(t)))Δ+a(t)f(t,u(t))=0, t∈[0,1]T, u(0)=0, u(1)=∑i=1m−2aiu(ξi), where T is a time scale, φp(s)=|s|p−2s, p>1, some new results are obtained for the existence of at least one, two, and three positive solution/solutions of the above problem by using Krasnosel′skll′s fixed point theorem, new fixed point theorem due to Avery and Henderson, as well as Leggett-Williams fixed point theorem.
This is probably the first time the existence of positive solutions of one-dimensional p-Laplacian m-point boundary value problem on time scales has been studied.
American Psychological Association (APA)
Zhang, Ying& Qiao, ShiDong. 2009. Existence of Positive Solutions for m-Point Boundary Value Problems on Time Scales. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-12.
https://search.emarefa.net/detail/BIM-453109
Modern Language Association (MLA)
Zhang, Ying& Qiao, ShiDong. Existence of Positive Solutions for m-Point Boundary Value Problems on Time Scales. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-12.
https://search.emarefa.net/detail/BIM-453109
American Medical Association (AMA)
Zhang, Ying& Qiao, ShiDong. Existence of Positive Solutions for m-Point Boundary Value Problems on Time Scales. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-12.
https://search.emarefa.net/detail/BIM-453109
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453109