Publication detail
On stability of linear differential equations with commensurate delayed arguments
ČERMÁK, J. NECHVÁTAL, L.
English title
On stability of linear differential equations with commensurate delayed arguments
Type
journal article in Web of Science
Language
en
Original abstract
The paper studies a class of linear differential equations with several delayed arguments formed by iterates of a given function. The main result of this paper improves the existing stability criteria and formulates an effective necessary and sufficient condition relating stability of the studied differential equations to stability of some auxiliary difference equations. In the case of a two-delay equation, this condition is presented explicitly in terms of the equation’s parameters. As an accompanying result, the asymptotic decay rate of the solutions is described as well.
English abstract
The paper studies a class of linear differential equations with several delayed arguments formed by iterates of a given function. The main result of this paper improves the existing stability criteria and formulates an effective necessary and sufficient condition relating stability of the studied differential equations to stability of some auxiliary difference equations. In the case of a two-delay equation, this condition is presented explicitly in terms of the equation’s parameters. As an accompanying result, the asymptotic decay rate of the solutions is described as well.
Keywords in English
Linear differential and difference equation; Commensurate delays; Asymptotic stability
Released
01.03.2022
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Location
THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
ISSN
0893-9659
Volume
125
Number
1
Pages from–to
1–8
Pages count
8
BIBTEX
@article{BUT176598,
author="Jan {Čermák} and Luděk {Nechvátal},
title="On stability of linear differential equations with commensurate delayed arguments",
year="2022",
volume="125",
number="1",
month="March",
pages="1--8",
publisher="PERGAMON-ELSEVIER SCIENCE LTD",
address="THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND",
issn="0893-9659"
}