Publication 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

Type

journal article - other

Language

English

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

qualitative properties, delay difference equation

Authors

KUNDRÁT, P.

RIV year

2006

Released

10. 11. 2006

Publisher

AGH University of Science and Technology, Krakow

Location

Krakow, Poland

ISBN

1232-9274

Periodical

Opuscula Mathematica

Year of study

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"
}