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Multiple Positive Solutions to Multipoint Boundary Value Problem for a System of Second-Order Nonlinear Semipositone Differential Equations on Time Scales
Joint Authors
Li, Longsuo
Wu, Gang
Miao, Xiufeng
Cong, Xinrong
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-27
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We study a system of second-order dynamic equations on time scales (p1u1∇)Δ(t)-q1(t)u1(t)+λf1(t,u1(t),u2(t))=0,t∈(t1,tn),(p2u2∇)Δ(t)-q2(t)u2(t)+λf2(t,u1(t), u2(t))=0, satisfying four kinds of different multipoint boundary value conditions, fi is continuous and semipositone.
We derive an interval of λ such that any λ lying in this interval, the semipositone coupled boundary value problem has multiple positive solutions.
The arguments are based upon fixed-point theorems in a cone.
American Psychological Association (APA)
Wu, Gang& Li, Longsuo& Cong, Xinrong& Miao, Xiufeng. 2013. Multiple Positive Solutions to Multipoint Boundary Value Problem for a System of Second-Order Nonlinear Semipositone Differential Equations on Time Scales. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-489865
Modern Language Association (MLA)
Wu, Gang…[et al.]. Multiple Positive Solutions to Multipoint Boundary Value Problem for a System of Second-Order Nonlinear Semipositone Differential Equations on Time Scales. Journal of Applied Mathematics No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-489865
American Medical Association (AMA)
Wu, Gang& Li, Longsuo& Cong, Xinrong& Miao, Xiufeng. Multiple Positive Solutions to Multipoint Boundary Value Problem for a System of Second-Order Nonlinear Semipositone Differential Equations on Time Scales. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-489865
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-489865