Turkish Journal of Mathematics
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.
E-ISSN: 1303-6149; ISSN: 1300-0098
Scientific and Technological Research Council of Turkey
Large contraction, Volterra difference equation, infinite delay, periodic solution, fixed point
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.