Right Focal Boundary Value Problems for Difference Equations

Authors

Johnny Henderson, Baylor University
Xueyan Liu, Baylor University
Jeffrey W. Lyons, Baylor UniversityFollow
Jeffrey T. Neugebauer, Baylor University

Document Type

Article

Publication Date

2010

Publication Title

Opuscula Mathematica

Keywords

Difference equation, Boundary value problem, Right focal, Fixed point theorem, Positive solution

ISSN

1232-9274

Volume

30

Issue/No.

4

First Page

447

Last Page

456

Abstract

An application is made of a new Avery et al. fixed point theorem of compression and expansion functional type in the spirit of the original fixed point work of Leggett and Williams, to obtain positive solutions of the second order right focal discrete boundary value problem. In the application of the fixed point theorem, neither the entire lower nor entire upper boundary is required to be mapped inward or outward. A nontrivial example is also Provided.

NSUWorks Citation

Henderson, Johnny; Liu, Xueyan; Lyons, Jeffrey W.; and Neugebauer, Jeffrey T., "Right Focal Boundary Value Problems for Difference Equations" (2010). Mathematics Faculty Articles. 103.
https://nsuworks.nova.edu/math_facarticles/103

DOI

10.7494/OpMath.2010.30.4.447