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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
Rok RIV
2013
Vydáno
21. 6. 2013
Nakladatel
Springer
ISSN
1687-1847
Periodikum
Advances in Difference Equations
Ročník
Číslo
Stát
Spojené státy americké
Strany od
1
Strany do
12
Strany počet
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" }