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

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dc.contributor.advisor Henderson, Johnny. Hopkins, Britney.
dc.contributor.other Baylor University. Dept. of Mathematics. en 2009-05
dc.description.abstract In 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.rights Baylor 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 for inquiries about permission. en
dc.subject Multiplicity (Mathematics) en
dc.subject Positive systems. en
dc.subject Boundary value problems. en
dc.subject Fixed point theory. en
dc.subject Conjugate direction methods. en
dc.subject Difference equations -- Numerical solutions. en
dc.title Multiplicity of positive solutions of even-order nonhomogeneous boundary value problems. en
dc.type Thesis en Ph.D. en
dc.rights.accessrights Worldwide access en
dc.contributor.department Mathematics. en

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