Multiplicity of positive solutions of even-order nonhomogeneous boundary value problems.

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dc.contributor.advisorHenderson, Johnny.
dc.contributor.authorHopkins, Britney.
dc.contributor.departmentMathematics.en
dc.contributor.otherBaylor University. Dept. of Mathematics.en
dc.date.accessioned2009-06-02T17:58:13Z
dc.date.available2009-06-02T17:58:13Z
dc.date.copyright2009-05
dc.date.issued2009-06-02T17:58:13Z
dc.descriptionIncludes bibliographical references (p. 77-79).en
dc.description.abstractIn this work, we discuss multiplicity results for nonhomogeneous even-order boundary value problems on both discrete and continuous domains. We develop a method for establishing existence of positive solutions by transforming even-order problems into a series of second order problems satisfying homogeneous boundary conditions. We then construct a sequence of lemmas which give contraction and expansion relationships within a cone. This allows us to apply the Guo-Krasnosel'skii Fixed Point Theorem which, in turn, guarantees several positive solutions.en
dc.description.degreePh.D.en
dc.description.statementofresponsibilityby Britney Hopkins.en
dc.format.extentv, 79 p.en
dc.format.extent1230238 bytes
dc.format.extent313240 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/2104/5323
dc.language.isoen_USen
dc.rightsBaylor University theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. Contact librarywebmaster@baylor.edu for inquiries about permission.en
dc.rights.accessrightsWorldwide accessen
dc.subjectMultiplicity (Mathematics)en
dc.subjectPositive systems.en
dc.subjectBoundary value problems.en
dc.subjectFixed point theory.en
dc.subjectConjugate direction methods.en
dc.subjectDifference equations -- Numerical solutions.en
dc.titleMultiplicity of positive solutions of even-order nonhomogeneous boundary value problems.en
dc.typeThesisen

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