Publication detail

An asymptotic estimate for linear delay differential equations with power delayed arguments

TOMÁŠEK, P.

Czech title

Asymptotický odhad pro lineární diferenciální rovnice s mocninnými zpožděnými argumenty

English title

An asymptotic estimate for linear delay differential equations with power delayed arguments

Type

journal article - other

Language

en

Original abstract

The paper gives an analysis of asymptotic behaviour of linear differential equation with several delayed terms. There are considered power function coefficients in the equation. Delayed arguments are in the form of power functions with powers from interval (0,1). Some asymptotic estimates are derived and illustrated by several examples.

Czech abstract

Článek analyzuje asymptotické chování lineární diferenciální rovnice s několika zpožděnými členy. Koeficienty lineární diferenciální rovnice i zpožděné členy jsou uvažovány v mocninném tvaru. U zpožděných členů připouštíme mocninu z intervalu (0,1). Odvozené asymptotické odhady řešení jsou ilustrovány na několika příkladech.

English abstract

The paper gives an analysis of asymptotic behaviour of linear differential equation with several delayed terms. There are considered power function coefficients in the equation. Delayed arguments are in the form of power functions with powers from interval (0,1). Some asymptotic estimates are derived and illustrated by several examples.

Keywords in Czech

Asymptotický odhad, zpožděná diferenciální rovnice, neohraničené zpoždění

Keywords in English

Asymptotic estimate, delay differential equation, unbounded delay

RIV year

2013

Released

16.12.2013

Publisher

Research India Publications

Location

Delhi, India

ISSN

0973-5321

Volume

8

Number

2

Pages from–to

379–386

Pages count

8

BIBTEX


@article{BUT100045,
  author="Petr {Tomášek},
  title="An asymptotic estimate for linear delay differential equations with power delayed arguments",
  year="2013",
  volume="8",
  number="2",
  month="December",
  pages="379--386",
  publisher="Research India Publications",
  address="Delhi, India",
  issn="0973-5321"
}