Asymptotic Behavior of Solutions in Nonlinear Neutral System with Two Volterra Terms

Mouataz Billah Mesmouli (), Abdelouaheb Ardjouni and Hicham Saber
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Mouataz Billah Mesmouli: Mathematics Department, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia
Abdelouaheb Ardjouni: Department of Mathematics and Informatics, University of Souk-Ahras, P.O. Box 1553, Souk Ahras 41000, Algeria
Hicham Saber: Mathematics Department, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia

Mathematics, 2023, vol. 11, issue 12, 1-9

Abstract: In this manuscript, we generalise previous results in the literature by providing sufficient conditions for the matrix measure to guarantee the stability, asymptotic stability and exponential stability of a neutral system of differential equations. This is achieved by constructing a suitable operator from our system and applying the Banach fixed point theorem.

Keywords: neutral system; fixed points; fundamental matrix; asymptotic stability; exponential stability; matrix measure; volterra term (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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