P-PERIODIC SOLUTIONS OF A q-INTEGRAL EQUATION WITH FINITE DELAY

Authors

• Muhammad N. Islam, University of DaytonFollow
• Jeffrey T. Neugebauer, Eastern Kentucky UniversityFollow

Author ORCID Identifier

0000-0003-2450-4169

Department

Mathematics and Statistics

Document Type

Article

Publication Date

Spring 3-3-2022

Abstract

A Volterra type integral equation with a finite delay is considered on a discrete nonadditive time scale domain q(N0) = {q(n) : n is an element of N-0}, where k is an element of N, q > 1. The existence of periodic solutions of this equation, which we call a q-integral equation, are shown employing the contraction mapping principle and a fixed point theorem due to Krasnosel'skii.

Recommended Citation

Islam, Muhammad N. and Neugebauer, Jeffrey T., "P-PERIODIC SOLUTIONS OF A q-INTEGRAL EQUATION WITH FINITE DELAY" (2022). EKU Faculty and Staff Scholarship. 824.
https://encompass.eku.edu/fs_research/824

Journal Title

Differential Equations and Applications