Detail publikačního výsledku

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

DIBLÍK, J.

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

Druh

Článek WoS

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.

Klíčová slova

linear differential functional equation of retarded-type; asymptotic behaviour of solutions; asymptotic convergence; asymptotic divergence

Klíčová slova v angličtině

linear differential functional equation of retarded-type; asymptotic behaviour of solutions; asymptotic convergence; asymptotic divergence

Autoři

DIBLÍK, J.

Rok RIV

2019

Vydáno

26.06.2018

Nakladatel

Bolyai Institute, University of Szeged, Hungary

Místo

Szeged

ISSN

1417-3875

Periodikum

Electronic Journal of Qualitative Theory of Differential Equations

Svazek

2018

Číslo

47

Stát

Maďarsko

Strany od

1

Strany do

23

Strany počet

23

URL

http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6463

BibTex

@article{BUT149457,
  author="Josef {Diblík}",
  title="Long-time behaviour of solutions of delayed-type linear differential equations",
  journal="Electronic Journal of Qualitative Theory of Differential Equations",
  year="2018",
  volume="2018",
  number="47",
  pages="1--23",
  doi="10.14232/ejqtde.2018.1.47",
  issn="1417-3875",
  url="http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=6463"
}