Detail publikace
Some qualitative properties of linear dynamic equations with multiple delays
ČERMÁK, J.
Anglický název
Some qualitative properties of linear dynamic equations with multiple delays
Typ
Článek recenzovaný mimo WoS a Scopus
Jazyk
en
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 anglicky
Delay dynamic equation; stability; asymptotic behaviour
Vydáno
2013-06-21
Nakladatel
Springer
ISSN
1687-1847
Časopis
Advances in Difference Equations
Ročník
2013
Číslo
2013
Strany od–do
1–12
Počet stran
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"
}