Publication:
Positive solutions of singular boundary value problems for systems of nonlinear fourth order differential equations

Issued Date

2008-02-01

Resource Type

Article

ISSN

0362546X

DOI

10.1016/j.na.2006.11.014

Other identifier(s)

2-s2.0-36249021559

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Nonlinear Analysis, Theory, Methods and Applications. Vol.68, No.3 (2008), 485-498

Suggested Citation

Lishan Liu, Ping Kang, Yonghong Wu, Benchawan Wiwatanapataphee Positive solutions of singular boundary value problems for systems of nonlinear fourth order differential equations. Nonlinear Analysis, Theory, Methods and Applications. Vol.68, No.3 (2008), 485-498. doi:10.1016/j.na.2006.11.014 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/19420

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Title

Positive solutions of singular boundary value problems for systems of nonlinear fourth order differential equations

Author(s)

Lishan Liu
 Ping Kang
 Yonghong Wu
 Benchawan Wiwatanapataphee

Other Contributor(s)

Qufu Normal University
 Curtin University
 Mahidol University

Abstract

In this paper, we study the singular boundary value problems for systems of nonlinear fourth order differential equations {(u(4)(t) = a1(t) f1(t, u (t), v (t), u″(t), v″(t)) + b1(t) g1(t, u (t), v (t), u″(t), v″(t)),; v(4)(t) = a2(t) f2(t, u (t), v (t), u″(t), v″(t)) + b2(t) g2(t, u (t), v (t), u″(t), v″(t)), 0 < t < 1,; u (0) = u (1) = v (0) = v (1) = 0,; α1u″(0) - β1u‴(0) = 0, γ1u″(1) + δ1u‴(1) = 0,; α2v″(0) - β2v‴(0) = 0, γ2v″(1) + δ2v‴(1) = 0 .) Under some weaker conditions, we show the existence of single and multiple positive solutions of the above problem by applying the fixed-point theorem of cone expansion and compression type due to Krasnosel'skill. © 2007.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/19420

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