Applications Of Leggett Williams Type Fixed Point Theorems To A Second Order Difference Equation

<p>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. </p>

Name thesis:degree_name

Master of Science (MS)

Level thesis:degree_level

Master's

Discipline thesis:degree_discipline

Mathematics and Statistics

Grantor dc:publisher

Eastern Kentucky University

Year

2013

Author dc:creator

• Seelbach, Charley Lockhart

• fixed point theorems
• Leggett-Williams fixed-point theorem
• Dirichlet boundary conditions
• Mathematics

Statement dc:rights

• Copyright 2013 Charley Lockhart Seelbach

Repository record dc:identifier

https://encompass.eku.edu/etd/133

OAI identifier oai:identifier

oai:encompass.eku.edu:etd-1132