Publication 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

journal article - other

Language

en

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.

RIV year

2000

Released

16.03.2000

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.",
  annote="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.",
  chapter="39312",
  number="250",
  volume="2000",
  year="2000",
  month="march",
  pages="635--659",
  type="journal article - other"
}