Publication detail

On the asymptotics of the difference equation with a proportional delay

KUNDRÁT, P.

English title

On the asymptotics of the difference equation with a proportional delay

Type

Peer-reviewed article not indexed in WoS or Scopus

Language

en

Original abstract

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.

Keywords in English

qualitative properties, delay difference equation

Released

2006-11-10

Publisher

AGH University of Science and Technology, Krakow

Location

Krakow, Poland

ISSN

1232-9274

Journal

Opuscula Mathematica

Volume

26

Number

3

Pages from–to

499–506

Pages count

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"
}