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"
}