Multiple Positive Solutions of a Second Order Nonlinear Semipositone m-Point Boundary Value Problem on Time Scales
Joint Authors
Source
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-10-11
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
In this paper, we study a general second-order m-point boundary value problem for nonlinear singular dynamic equation on time scales uΔ∇(t)+a(t)uΔ(t)+b(t)u(t)+λq(t)f(t,u(t))=0, t∈(0,1)?, u(ρ(0))=0, u(σ(1))=∑i=1m-2αiu(ηi).
This paper shows the existence of multiple positive solutions if f is semipositone and superlinear.
The arguments are based upon fixed-point theorems in a cone.
American Psychological Association (APA)
Yuan, Chengjun& Liu, Yongming. 2010. Multiple Positive Solutions of a Second Order Nonlinear Semipositone m-Point Boundary Value Problem on Time Scales. Abstract and Applied Analysis،Vol. 2010, no. 2010, pp.1-19.
https://search.emarefa.net/detail/BIM-458393
Modern Language Association (MLA)
Yuan, Chengjun& Liu, Yongming. Multiple Positive Solutions of a Second Order Nonlinear Semipositone m-Point Boundary Value Problem on Time Scales. Abstract and Applied Analysis No. 2010 (2010), pp.1-19.
https://search.emarefa.net/detail/BIM-458393
American Medical Association (AMA)
Yuan, Chengjun& Liu, Yongming. Multiple Positive Solutions of a Second Order Nonlinear Semipositone m-Point Boundary Value Problem on Time Scales. Abstract and Applied Analysis. 2010. Vol. 2010, no. 2010, pp.1-19.
https://search.emarefa.net/detail/BIM-458393
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-458393
