Existence results for a class of even-order boundary value problems.

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dc.contributor.advisorHopkins, Britney
dc.contributor.authorBrumley, Daniel
dc.contributor.committeeMemberCook, Tyler
dc.contributor.committeeMemberFulkerson, Michael
dc.date.accessioned2020-07-09T14:40:51Z
dc.date.available2020-07-09T14:40:51Z
dc.date.issued2018
dc.description.abstractThis thesis focuses on establishing the existence of positive solutions to even-order boundary value problems... Similar problems have been considered by other authors. What distinguishes this work is the method employed: Beginning with a transformation of the problem into a system of second-order differential equations satisfying homogeneous boundary conditions, the work culminates in successive applications of the Guo-Krasnosel'skii Fixed Point Theorem giving at least three positive solutions. This method is based on the work of Marcos, Lorca, and Ubilla, who developed the technique to establish existence results for a class of fourth-order boundary value problems; however, the general framework under which this thesis operates is more accurately attributed to Hopkins, who extended the method to even-order problems on both continuous and discrete domains. Future work could seek to further demonstrate the broad applicability of the method by considering more challenging boundary conditions, by generalizing the results to time scales, or by utilizing different fixed point theorems in order to characterize solutions further.
dc.identifier.oclc(OCoLC)1041708458
dc.identifier.other(AlmaMMSId)9982595084902196
dc.identifier.urihttps://hdl.handle.net/11244/325083
dc.rightsAll rights reserved by the author, who has granted UCO Chambers Library the non-exclusive right to share this material in its online repositories. Contact UCO Chambers Library's Digital Initiatives Working Group at diwg@uco.edu for the permission policy on the use, reproduction or distribution of this material.
dc.subject.keywordsBoundary value problem
dc.subject.keywordsEven-order
dc.subject.keywordsGuo-Krasnoselskii fixed point theorem
dc.subject.keywordsMultiple
dc.subject.keywordsPositive solutions
dc.subject.lcshBoundary value problems
dc.subject.lcshFixed point theory
dc.thesis.degreeM.S., Applied Mathematical Science
dc.titleExistence results for a class of even-order boundary value problems.
dc.typeAcademic theses
thesis.degree.grantorJackson College of Graduate Studies.
uco.groupUCO - Graduate Works and Theses::UCO - Theses

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