Publication result 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

English Title

Some qualitative properties of linear dynamic equations with multiple delays

Type

Peer-reviewed article not indexed in WoS or Scopus

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.

English 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

Key words in English

Delay dynamic equation; stability; asymptotic behaviour

Authors

ČERMÁK, J.

RIV year

2014

Released

21.06.2013

Publisher

Springer

ISBN

1687-1847

Periodical

Advances in Difference Equations

Volume

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"
}