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Article: Positive Solution for Discrete Three-Point Boundary Value Problems

TitlePositive Solution for Discrete Three-Point Boundary Value Problems
Authors
KeywordsDiscrete three-point boundary value problem
Green’s function
Operator
Cone
Issue Date2004
PublisherAustral Internet Publishing. The Journal's web site is located at http://ajmaa.org
Citation
The Australian Journal of Mathematical Analysis and Applications, 2004, v. 1 n. 2, article no. 9 How to Cite?
AbstractThis paper is concerned with the existence of positive solution to the discrete three-point boundary value problem ▽△u(k) + λf(k, u(k)) = 0, k 2 {1, . . . ,N}, u(0) = 0, u(N + 1) = αu(l) where λ > 0, l ε {1, · · · ,N}, and f is allowed to change sign. By constructing available operators, we shall apply the method of lower solution and the method of topology degree to obtain positive solution of the above problem for λ on a suitable interval. The associated Green’s function is first given.
Persistent Identifierhttp://hdl.handle.net/10722/75298
ISSN
2015 SCImago Journal Rankings: 0.117

 

DC FieldValueLanguage
dc.contributor.authorCheung, WSen_HK
dc.contributor.authorRen, Jen_HK
dc.date.accessioned2010-09-06T07:09:48Z-
dc.date.available2010-09-06T07:09:48Z-
dc.date.issued2004en_HK
dc.identifier.citationThe Australian Journal of Mathematical Analysis and Applications, 2004, v. 1 n. 2, article no. 9en_HK
dc.identifier.issn1449-5910en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75298-
dc.description.abstractThis paper is concerned with the existence of positive solution to the discrete three-point boundary value problem ▽△u(k) + λf(k, u(k)) = 0, k 2 {1, . . . ,N}, u(0) = 0, u(N + 1) = αu(l) where λ > 0, l ε {1, · · · ,N}, and f is allowed to change sign. By constructing available operators, we shall apply the method of lower solution and the method of topology degree to obtain positive solution of the above problem for λ on a suitable interval. The associated Green’s function is first given.-
dc.languageengen_HK
dc.publisherAustral Internet Publishing. The Journal's web site is located at http://ajmaa.orgen_HK
dc.relation.ispartofThe Australian Journal of Mathematical Analysis and Applicationsen_HK
dc.subjectDiscrete three-point boundary value problem-
dc.subjectGreen’s function-
dc.subjectOperator-
dc.subjectCone-
dc.titlePositive Solution for Discrete Three-Point Boundary Value Problemsen_HK
dc.typeArticleen_HK
dc.identifier.emailCheung, WS: wscheung@hku.hken_HK
dc.identifier.emailRen, J: renjl@amss.ac.cnen_HK
dc.identifier.authorityCheung, WS=rp00678en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.hkuros98164en_HK
dc.identifier.volume1-
dc.identifier.issue2-
dc.identifier.spagearticle no. 9-
dc.identifier.epagearticle no. 9-
dc.publisher.placeAustralia-

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