Right Focal Boundary Value Problems for Difference Equations

Authors

Johnny Henderson
Xueyan Liu
Jeffrey W. Lyons
Jeffrey T. Neugebauer, Eastern Kentucky UniversityFollow

Author ORCID Identifier

Jeffrey Neugebauerhttps://orcid.org/0000-0003-2450-4169

Department

Mathematics and Statistics

Document Type

Article

Publication Date

4-1-2010

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.

Recommended Citation

Henderson, Johnny; Liu, Xueyan; Lyons, Jeffrey W.; and Neugebauer, Jeffrey T., "Right Focal Boundary Value Problems for Difference Equations" (2010). EKU Faculty and Staff Scholarship. 633.
https://encompass.eku.edu/fs_research/633

Journal Title

Opuscula Mathematica