Publication result detail

On asymptotic properties of discretization of linear delay differential equation

KUNDRÁT, P.

Original Title

On asymptotic properties of discretization of linear delay differential equation

English Title

On asymptotic properties of discretization of linear delay differential equation

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

The paper deals with asymptotic properties of the difference equation obtained by means of the discretization of the delay differential equation with an unbounded delay via modified Euler method. The linear interpolation is utilized for approximation of delayed argument. The derived asymptotic estimate for the discrete case is compared with the known asymptotic behaviour of solutions in the continuous case.

English abstract

The paper deals with asymptotic properties of the difference equation obtained by means of the discretization of the delay differential equation with an unbounded delay via modified Euler method. The linear interpolation is utilized for approximation of delayed argument. The derived asymptotic estimate for the discrete case is compared with the known asymptotic behaviour of solutions in the continuous case.

Keywords

delay differential equation, difference equation, asymptotic estimate

Key words in English

delay differential equation, difference equation, asymptotic estimate

Authors

KUNDRÁT, P.

Released

01.12.2006

Publisher

University of Žilina

Location

Žilina

ISBN

1336-149X

Periodical

Studies of the University of Žilina

Volume

20

Number

1

State

Slovak Republic

Pages from

39

Pages to

46

Pages count

8

BibTex

@article{BUT43989,
  author="Petr {Tomášek}",
  title="On asymptotic properties of discretization of linear delay differential equation",
  journal="Studies of the University of Žilina",
  year="2006",
  volume="20",
  number="1",
  pages="39--46",
  issn="1336-149X"
}