Detail publikace

On stability of linear differential equations with commensurate delayed arguments

ČERMÁK, J. NECHVÁTAL, L.

Originální název

On stability of linear differential equations with commensurate delayed arguments

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

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.

Klíčová slova

Linear differential and difference equation; Commensurate delays; Asymptotic stability

Autoři

ČERMÁK, J.; NECHVÁTAL, L.

Vydáno

1. 3. 2022

Nakladatel

PERGAMON-ELSEVIER SCIENCE LTD

Místo

THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND

ISSN

0893-9659

Periodikum

APPLIED MATHEMATICS LETTERS

Ročník

125

Číslo

1

Stát

Spojené státy americké

Strany od

1

Strany do

8

Strany počet

8

URL

https://www.sciencedirect.com/science/article/pii/S089396592100402X

BibTex

@article{BUT176598,
  author="Jan {Čermák} and Luděk {Nechvátal}",
  title="On stability of linear differential equations with commensurate delayed arguments",
  journal="APPLIED MATHEMATICS LETTERS",
  year="2022",
  volume="125",
  number="1",
  pages="1--8",
  doi="10.1016/j.aml.2021.107750",
  issn="0893-9659",
  url="https://www.sciencedirect.com/science/article/pii/S089396592100402X"
}