Publication detail

On asymptotic properties of discretization of linear delay differential equation

KUNDRÁT, P.

Czech title

Asymptotické vlastnosti diskretizované lineární zpožděné diferenciální rovnice

English title

On asymptotic properties of discretization of linear delay differential equation

Type

journal article - other

Language

en

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.

Czech abstract

Článek se zabývá asymptotickými vlastnostmi diferenční rovnice, kterou získáme diskretizací diferenciální rovnice s neohraničeným zpožděním Eulerovou metodou. Zpožděný argument je aproximován lineární interpolací. Odvozený asymptotický odhad řešení diskrétní úlohy je porovnán se známými výsledky kvalitativní analýzy spojitého diferenciálního případu.

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 in Czech

zpožděná diferenciální rovnice, diferenční rovnice, asymptotický odhad

Keywords in English

delay differential equation, difference equation, asymptotic estimate

RIV year

2006

Released

01.12.2006

Publisher

University of Žilina

Location

Žilina

ISSN

1336-149X

Journal

Studies of the University of Žilina

Volume

20

Number

1

Pages from–to

39–46

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",
  month="December",
  pages="39--46",
  publisher="University of Žilina",
  address="Žilina",
  issn="1336-149X"
}