Publication detail

# Asymptotic behavior of positive solutions of differential equations with state delay

DIBLÍK, J. VÁŽANOVÁ, G.

Original Title

Asymptotic behavior of positive solutions of differential equations with state delay

English Title

Asymptotic behavior of positive solutions of differential equations with state delay

Type

abstract

Language

en

Original Abstract

A differential equation $\dot{y}(t)=-c(t)y(t-\tau(t,y(t)))$, where $t\ge t_0\in \mathbb{R}$, with state-dependent delay represented by the function $\tau$, is considered. Existence of positive solutions for $t\to\infty$ is discussed.

English abstract

A differential equation $\dot{y}(t)=-c(t)y(t-\tau(t,y(t)))$, where $t\ge t_0\in \mathbb{R}$, with state-dependent delay represented by the function $\tau$, is considered. Existence of positive solutions for $t\to\infty$ is discussed.

Keywords

Long-time behavior, time-dependent delay, positive solution

Released

21.08.2017

Publisher

Ariel University

Location

Ariel, Israel

Pages from

14

Pages to

14

Pages count

1

Documents

BibTex


@misc{BUT138660,
author="Josef {Diblík} and Gabriela {Vážanová}",
title="Asymptotic behavior of positive solutions of differential equations with state delay
",
annote="A differential equation $\dot{y}(t)=-c(t)y(t-\tau(t,y(t)))$,  where $t\ge t_0\in \mathbb{R}$, with state-dependent delay represented by the function $\tau$, is considered. Existence of positive solutions for $t\to\infty$ is discussed.",
}