dc.contributor.authorWong, Patricia Jia Yiing
dc.date.accessioned2014-06-13T04:10:22Z
dc.date.available2014-06-13T04:10:22Z
dc.date.copyright2014en_US
dc.date.issued2014
dc.identifier.citationWong, P. J. Y. (2014). Triple solutions of complementary Lidstone boundary value problems via fixed point theorems. Boundary Value Problems, 2014(1), 125-.en_US
dc.identifier.issn1687-2770en_US
dc.identifier.urihttp://hdl.handle.net/10220/19750
dc.description.abstractWe consider the following complementary Lidstone boundary value problem: (−1) m y (2m+1) (t)=F(t,y(t),y ′ (t)),t∈[0,1], y(0)=0,y (2k−1) (0)=y (2k−1) (1)=0,1≤k≤m. By using fixed point theorems of Leggett-Williams and Avery, we offer several criteria for the existence of three positive solutions of the boundary value problem. Examples are also included to illustrate the results obtained. We note that the nonlinear term F depends on y ′ and this derivative dependence is seldom investigated in the literature and a new technique is required to tackle the problem.en_US
dc.language.isoenen_US
dc.relation.ispartofseriesBoundary value problemsen_US
dc.rights© 2014 Wong; licensee Springer. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.en_US
dc.subjectDRNTU::Engineering::Electrical and electronic engineering
dc.titleTriple solutions of complementary Lidstone boundary value problems via fixed point theoremsen_US
dc.typeJournal Article
dc.contributor.schoolSchool of Electrical and Electronic Engineeringen_US
dc.identifier.doihttp://dx.doi.org/10.1186/1687-2770-2014-125
dc.description.versionPublished versionen_US


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