On the Solvability of Nonlinear Discrete Multipoint Boundary Value Problems

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dc.contributor.advisorDr. Jesus Rodriguez, Committee Chairen_US
dc.contributor.advisorDr. James Selgrade, Committee Memberen_US
dc.contributor.advisorDr. Tom Lada, Committee Memberen_US
dc.contributor.advisorDr. Kailash Misra, Committee Memberen_US
dc.contributor.authorTaylor, Padraic Whittinghamen_US
dc.date.accessioned2010-04-02T19:16:31Z
dc.date.available2010-04-02T19:16:31Z
dc.date.issued2007-04-17en_US
dc.degree.disciplineMathematicsen_US
dc.degree.leveldissertationen_US
dc.degree.namePhDen_US
dc.descriptionNorth Carolina State University Theses Mathematics.
dc.description.abstractIn this manuscript we study nonlinear, discrete, multipoint boundary value problems. We investigate two types of problems. We first consider scalar, nonlinear, multipoint boundary value problems. We provide sufficient conditions for the existence of solutions. By allowing more general boundary conditions and by imposing less restrictions on the nonlinearities, we obtain results that extend previous work in the area of discrete boundary value problems. [8,9]. We also study weakly nonlinear, discrete systems. We provide sufficient conditions for the existence of solutions and we present a qualitative analysis of the way the solutions depend on the parameter.en_US
dc.formatThesis (Ph.D.)--North Carolina State University.
dc.identifier.otheretd-03302006-182605en_US
dc.identifier.urihttp://www.lib.ncsu.edu/resolver/1840.16/5605
dc.rightsI hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to NC State University or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report.en_US
dc.subjectBrouwer Fixed Point Theoremen_US
dc.subjectboundary value problemsen_US
dc.subjectprojectionen_US
dc.subjectImplicit Function Theoremen_US
dc.subjectLyapunov-Schmidt Procedureen_US
dc.titleOn the Solvability of Nonlinear Discrete Multipoint Boundary Value Problemsen_US
dcterms.abstractKeywords: Brouwer Fixed Point Theorem, boundary value problems, projection, Implicit Function Theorem, Lyapunov-Schmidt Procedure.
dcterms.extentv, 56 pages : illustrations

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