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"
}