Publication detail

Some qualitative properties of linear dynamic equations with multiple delays

ČERMÁK, J.

Original Title

Some qualitative properties of linear dynamic equations with multiple delays

Type

journal article - other

Language

English

Original Abstract

This paper discusses stability and asymptotic properties of a delay dynamic equation. Under some specific choices of a delay, this dynamic equation involves several significant particular cases such as linear autonomous differential equations with several delays or linear autonomous higher-order difference equations. For a proportional delay, we formulate an asymptotic result joint for two different time scales, including a joint form of its proof. For a general delay, we investigate stability and asymptotic properties of solutions on the continuous and discrete time scales separately. Besides a related character of the relevant results, we discuss also a possible related character of their proofs.

Keywords

Delay dynamic equation; stability; asymptotic behaviour

Authors

ČERMÁK, J.

RIV year

2013

Released

21. 6. 2013

Publisher

Springer

ISBN

1687-1847

Periodical

Advances in Difference Equations

Year of study

2013

Number

2013

State

United States of America

Pages from

1

Pages to

12

Pages count

12

BibTex

@article{BUT101363,
  author="Jan {Čermák}",
  title="Some qualitative properties of linear dynamic equations with multiple delays",
  journal="Advances in Difference Equations",
  year="2013",
  volume="2013",
  number="2013",
  pages="1--12",
  issn="1687-1847"
}