Publication detail

Some qualitative properties of linear dynamic equations with multiple delays

ČERMÁK, J.

English title

Some qualitative properties of linear dynamic equations with multiple delays

Type

Peer-reviewed article not indexed in WoS or Scopus

Language

en

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 in English

Delay dynamic equation; stability; asymptotic behaviour

Released

2013-06-21

Publisher

Springer

ISSN

1687-1847

Journal

Advances in Difference Equations

Volume

2013

Number

2013

Pages from–to

1–12

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"
}