Detail publikace
On stability of linear differential equations with commensurate delayed arguments
ČERMÁK, J. NECHVÁTAL, L.
Anglický název
On stability of linear differential equations with commensurate delayed arguments
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
en
Originální abstrakt
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.
Anglický abstrakt
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.
Klíčová slova anglicky
Linear differential and difference equation; Commensurate delays; Asymptotic stability
Vydáno
01.03.2022
Nakladatel
PERGAMON-ELSEVIER SCIENCE LTD
Místo
THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
ISSN
0893-9659
Ročník
125
Číslo
1
Strany od–do
1–8
Počet stran
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"
}