Detail publikace

Long-time behaviour of solutions of delayed-type linear differential equations

Originální název

Long-time behaviour of solutions of delayed-type linear differential equations

Anglický název

Long-time behaviour of solutions of delayed-type linear differential equations

Jazyk

en

Originální abstrakt

This paper investigates the asymptotic behaviour of the solutions of the retarded-type linear differential functional equations with bounded delays when t\to\infty. The main results concern the existence of two significant positive and asymptotically different solutions. These solutions make it possible to describe the family of all solutions by means of an asymptotic formula. The investigation basis is formed by an auxiliary linear differential functional equation of retarded type. A commented survey of the previous results is given with illustrative examples.

Anglický abstrakt

This paper investigates the asymptotic behaviour of the solutions of the retarded-type linear differential functional equations with bounded delays when t\to\infty. The main results concern the existence of two significant positive and asymptotically different solutions. These solutions make it possible to describe the family of all solutions by means of an asymptotic formula. The investigation basis is formed by an auxiliary linear differential functional equation of retarded type. A commented survey of the previous results is given with illustrative examples.

BibTex


@article{BUT149457,
author="Josef {Diblík}",
title="Long-time behaviour of solutions of delayed-type linear differential equations",
annote="This paper investigates the asymptotic behaviour of the solutions of the retarded-type linear differential functional equations with bounded delays when t\to\infty. The main results concern the existence of two significant positive
and asymptotically different solutions. These solutions make it possible to describe the family of all solutions by means of an asymptotic formula. The investigation basis is formed by an auxiliary linear differential functional equation of retarded type. A commented survey of the previous results is given with illustrative examples.",
address="Bolyai Institute, University of Szeged, Hungary",
chapter="149457",
doi="10.14232/ejqtde.2018.1.47",
howpublished="online",
institution="Bolyai Institute, University of Szeged, Hungary",
number="47",
volume="2018",
year="2018",
month="june",
pages="1--23",
publisher="Bolyai Institute, University of Szeged, Hungary",
type="journal article in Web of Science"
}