The Large Contraction Principle and Existence of Periodic Solutions for Infinite Delay Volterra Difference Equations

Author(s)

Paul W. Eloe, University of DaytonFollow
Jaganmohan Jonnalagadda, Birla Institute of Technology and Science (BITS)
Youssef Raffoul, University of DaytonFollow

Document Type

Article

Publication Date

2019

Publication Source

Turkish Journal of Mathematics

Abstract

In this article, we establish sufficient conditions for the existence of periodic solutions of a nonlinear infinite delay Volterra difference equation. (See paper for equation.)

We employ a Krasnosel’skii type fixed point theorem, originally proved by Burton. The primary sufficient condition is not verifiable in terms of the parameters of the difference equation, and so we provide three applications in which the primary sufficient condition is verified.

Inclusive pages

1988-1999

ISBN/ISSN

E-ISSN: 1303-6149; ISSN: 1300-0098

Document Version

Published Version

Comments

This work is licensed under a Creative Commons Attribution 4.0 International License (CC-BY). Permission documentation is on file.

DOI: https://doi.org/10.3906/mat-1904-128

Publisher

Scientific and Technological Research Council of Turkey

Volume

43

Issue

4

Peer Reviewed

yes

Keywords

Large contraction, Volterra difference equation, infinite delay, periodic solution, fixed point

eCommons Citation

Eloe, Paul W.; Jonnalagadda, Jaganmohan; and Raffoul, Youssef, "The Large Contraction Principle and Existence of Periodic Solutions for Infinite Delay Volterra Difference Equations" (2019). Mathematics Faculty Publications. 214.
https://ecommons.udayton.edu/mth_fac_pub/214