Detail publikačního výsledku

The asymptotic properties of solutions of linear delay differential equations

KUNDRÁT, P.

Originální název

The asymptotic properties of solutions of linear delay differential equations

Anglický název

The asymptotic properties of solutions of linear delay differential equations

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

delay differential equation, functional equation, asymptotic behaviour

Klíčová slova v angličtině

delay differential equation, functional equation, asymptotic behaviour

Autoři

KUNDRÁT, P.

Vydáno

15.08.2006

Nakladatel

Mathematical Institute of the Slovak Academy of Sciences

Místo

Bratislava

ISSN

0139-9918

Periodikum

Mathematica Slovaca

Svazek

56

Číslo

3

Stát

Slovenská republika

Strany od

349

Strany do

360

Strany počet

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"
}