Publication detail

The asymptotic properties of solutions of linear delay differential equations

KUNDRÁT, P.

English title

The asymptotic properties of solutions of linear delay differential equations

Type

Peer-reviewed article not indexed in WoS or Scopus

Language

en

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 in English

delay differential equation, functional equation, asymptotic behaviour

Released

2006-08-15

Publisher

Mathematical Institute of the Slovak Academy of Sciences

Location

Bratislava

ISSN

0139-9918

Journal

Mathematica Slovaca

Volume

56

Number

3

Pages from–to

349–360

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"
}