A Study of Stability of First-Order Delay Differential Equations Using Fixed Point Theorem Banach

Zaid A.A. Mahdi  Monje; Buthainah A.A.  Ahmed

doi:10.24996/ijs.2019.60.12.22

A Study of Stability of First-Order Delay Differential Equations Using Fixed Point Theorem Banach

Authors

Zaid A.A. Mahdi Monje Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Buthainah A.A. Ahmed Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2019.60.12.22

Keywords:

Delay Differential Equations

Abstract

In this paper we investigate the stability and asymptotic stability of the zero solution for the first order delay differential equation

where the delay is variable and by using Banach fixed point theorem. We give new conditions to ensure the stability and asymptotic stability of the zero solution of this equation.

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Published

2019-12-29

Issue

Vol 60 No 12 (2019)

Section

Mathematics

How to Cite

A Study of Stability of First-Order Delay Differential Equations Using Fixed Point Theorem Banach. (2019). Iraqi Journal of Science, 60(12), 2719-2724. https://doi.org/10.24996/ijs.2019.60.12.22