Date of Award
January 2013
Degree Type
Open Access Thesis
Document Type
Master 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.
Copyright
Copyright 2013 Charley Lockhart Seelbach
Recommended Citation
Seelbach, Charley Lockhart, "Applications Of Leggett Williams Type Fixed Point Theorems To A Second Order Difference Equation" (2013). Online Theses and Dissertations. 133.
https://encompass.eku.edu/etd/133
