Publication result detail

Positive solutions of the equation x'=-c(t)x(t-r) in the critical case.

DIBLÍK, J.

Original Title

Positive solutions of the equation x'=-c(t)x(t-r) in the critical case.

English Title

Positive solutions of the equation x'=-c(t)x(t-r) in the critical case.

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

It is considered the asymptotic behaviour of the solutions to the equation $$\dot x(t)= -c(t)x(t-\tau),\quad c(t)> 0,$$ in the nonoscillatory case. There are obtained two-sided (from below and from above) sharp estimates for the pair of subdominant and dominant solutions to the equation.

English abstract

It is considered the asymptotic behaviour of the solutions to the equation $$\dot x(t)= -c(t)x(t-\tau),\quad c(t)> 0,$$ in the nonoscillatory case. There are obtained two-sided (from below and from above) sharp estimates for the pair of subdominant and dominant solutions to the equation.

Keywords

Positive solution, critical case.

Key words in English

Positive solution, critical case.

Authors

DIBLÍK, J.

RIV year

2013

Released

16.03.2000

ISBN

0022-247X

Periodical

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Volume

2000

Number

250

State

United States of America

Pages from

635

Pages to

659

Pages count

25

BibTex

@article{BUT39312,
  author="Josef {Diblík}",
  title="Positive solutions of the equation x'=-c(t)x(t-r) in the critical case.",
  journal="JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS",
  year="2000",
  volume="2000",
  number="250",
  pages="635--659",
  issn="0022-247X"
}