Periodic Solutions for a Neutral System with Two Volterra Terms

Mouataz Billah Mesmouli (), Meshari Alesemi and Wael W. Mohammed
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Mouataz Billah Mesmouli: Mathematics Department, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia
Meshari Alesemi: Department of Mathematics, College of Science, University of Bisha, P.O.551, Bisha 61922, Saudi Arabia
Wael W. Mohammed: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Mathematics, 2023, vol. 11, issue 9, 1-8

Abstract: In this paper, we propose a system of equations containing two kernels. In our transformation of the system, we use the integrable dichotomy condition, where we extract the term of the integration matrix from one of the kernels. We then use the fixed-point theory to prove that the system has periodic solutions that are unique under sufficient conditions. An illustrative example at the end of the article is given.

Keywords: dichotomy condition; Volterra term; periodic solutions; fixed point theorem; neutral system (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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