Asymptotic Behavior of Solutions in Nonlinear Neutral System with Two Volterra Terms-Reference-Cited by-同舟云学术

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

Published:2023-06-13 Issue:12 Volume:11 Page:2676
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Mesmouli Mouataz Billah¹^ORCID,Ardjouni Abdelouaheb²^ORCID,Saber Hicham¹^ORCID

Affiliation:

1. Mathematics Department, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia

2. Department of Mathematics and Informatics, University of Souk-Ahras, P.O. Box 1553, Souk Ahras 41000, Algeria

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.

Funder

Deputy for Research & Innovation, Ministry of Education through Initiative of Institutional Funding at University of Ha’il–Saudi Arabia

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/12/2676/pdf

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