Detail publikace
On the asymptotics of the difference equation with a proportional delay
KUNDRÁT, P.
Anglický název
On the asymptotics of the difference equation with a proportional delay
Typ
Článek recenzovaný mimo WoS a Scopus
Jazyk
en
Originální abstrakt
This paper deals with asymptotic properties of a vector difference equation with delayed argument $$ \Delta x_k=Ax_k+Bx_{\lfloor\lambda k\rfloor},\qquad 0<\lambda<1,\quad k=0,1,2,\dots, $$ where $A,B$ are constant matrices and the term $\lfloor\lambda k\rfloor$ is the integer part of $\lambda k$. Our aim is to emphasize some resemblances between the asymptotic behaviour of this delay difference equation and its continuous counterpart.
Klíčová slova anglicky
qualitative properties, delay difference equation
Vydáno
2006-11-10
Nakladatel
AGH University of Science and Technology, Krakow
Místo
Krakow, Poland
ISSN
1232-9274
Časopis
Opuscula Mathematica
Ročník
26
Číslo
3
Strany od–do
499–506
Počet stran
8
BIBTEX
@article{BUT43498,
author="Petr {Tomášek}",
title="On the asymptotics of the difference equation with a proportional delay",
journal="Opuscula Mathematica",
year="2006",
volume="26",
number="3",
pages="499--506",
issn="1232-9274"
}