Publication detail

The asymptotic properties of solutions of linear delay differential equations

KUNDRÁT, P.

Original Title

The asymptotic properties of solutions of linear delay differential equations

Type

journal article - other

Language

English

Original Abstract

The paper deals with the asymptotic behaviour of solutions of the delay differential equation x'(t)=a(t)x(t)+b(t)x(q(t))+f(t), t in [t0, infinity), where a is a positive function ond the ratio |b|/a can be estimated by means of a continuous and nonincreasing function. Some known asymptotic formulae concerning this equation are improved and extended to a more general case.

Keywords

delay differential equation, functional equation, asymptotic behaviour

Authors

KUNDRÁT, P.

RIV year

2006

Released

15. 8. 2006

Publisher

Mathematical Institute of the Slovak Academy of Sciences

Location

Bratislava

ISBN

0139-9918

Periodical

Mathematica Slovaca

Year of study

56

Number

3

State

Slovak Republic

Pages from

349

Pages to

360

Pages count

12

BibTex

@article{BUT43300,
  author="Petr {Tomášek}",
  title="The asymptotic properties of solutions of linear delay differential equations",
  journal="Mathematica Slovaca",
  year="2006",
  volume="56",
  number="3",
  pages="349--360",
  issn="0139-9918"
}