Detail publikace

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

Originální název

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

Anglický název

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

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

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"
}