Date of Award

January 2013

Degree Type

Open Access Thesis

Degree Name

Master of Science (MS)

Department

Mathematics and Statistics

First Advisor

Jeffrey T. Neugebauer

Department Affiliation

Mathematics and Statistics

Abstract

Using extensions of the Leggett-Williams fixed-point theorem, we prove the existence of solutions for a class of second-order difference equations with Dirichlet boundary conditions. We present these fixed point theorems and then show what conditions have to be met in order to satisfy the theorem. Finally, we provide specific examples to show the hypotheses of the theorems do not contradict one another.

Included in

Mathematics Commons

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