Publication result detail

On the asymptotics of the difference equation with a proportional delay

KUNDRÁT, P.

Original Title

On the asymptotics of the difference equation with a proportional delay

English Title

On the asymptotics of the difference equation with a proportional delay

Type

Peer-reviewed article not indexed in WoS or Scopus

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.

English 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

qualitative properties, delay difference equation

Key words in English

qualitative properties, delay difference equation

Authors

KUNDRÁT, P.

Released

10.11.2006

Publisher

AGH University of Science and Technology, Krakow

Location

Krakow, Poland

ISBN

1232-9274

Periodical

Opuscula Mathematica

Volume

26

Number

3

State

Republic of Poland

Pages from

499

Pages to

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"
}