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Detail publikace

Some qualitative properties of linear dynamic equations with multiple delays

ČERMÁK, J.

Originální název

Some qualitative properties of linear dynamic equations with multiple delays

Typ

článek v časopise - ostatní, Jost

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

Delay dynamic equation; stability; asymptotic behaviour

Autoři

ČERMÁK, J.

Rok RIV

2013

Vydáno

21. 6. 2013

Nakladatel

Springer

ISSN

1687-1847

Periodikum

Advances in Difference Equations

Ročník

2013

Číslo

2013

Stát

Spojené státy americké

Strany od

1

Strany do

12

Strany počet

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"
}