Publication result detail

Convergence test for one scalar differential equations with vanishing delay

BAŠTINEC, J.; DIBLÍK, J.; ŠMARDA, Z.

Original Title

Convergence test for one scalar differential equations with vanishing delay

English Title

Convergence test for one scalar differential equations with vanishing delay

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

The differential equation y'(t)=A(t)(y(t)-y(t-T(t)) with positive coefficient A and with positive bounded delay T (which can have the property T(+infty)=0) is considered. Explicit tests for convergence of all its solutions are proved.

English abstract

The differential equation y'(t)=A(t)(y(t)-y(t-T(t)) with positive coefficient A and with positive bounded delay T (which can have the property T(+infty)=0) is considered. Explicit tests for convergence of all its solutions are proved.

Keywords

asymptotic convergence, point test, integral test

Key words in English

asymptotic convergence, point test, integral test

Authors

BAŠTINEC, J.; DIBLÍK, J.; ŠMARDA, Z.

Released

01.01.2001

ISBN

0044-8753

Periodical

ARCHIVUM MATHEMATICUM

Volume

2000

Number

36

State

Czech Republic

Pages from

405

Pages to

414

Pages count

10

BibTex

@article{BUT39793,
  author="Jaromír {Baštinec} and Josef {Diblík} and Zdeněk {Šmarda}",
  title="Convergence test for one scalar differential equations with vanishing delay",
  journal="ARCHIVUM MATHEMATICUM",
  year="2001",
  volume="2000",
  number="36",
  pages="405--414",
  issn="0044-8753"
}