Detail publikačního výsledku

On increasing solutions of half-linear delay differential equations

ŘEHÁK, P.; MATUCCI, S.

Originální název

On increasing solutions of half-linear delay differential equations

Anglický název

On increasing solutions of half-linear delay differential equations

Druh

Článek Scopus

Originální abstrakt

We establish conditions guaranteeing that all eventually positive increasing solutions of a half-linear delay differential equation are regularly varying and derive precise asymptotic formulae for them. The results here presented are new also in the linear case and some of the observations are original also for non-functional equations. A substantial difference between the delayed and non-delayed case for eventually positive decreasing solutions is pointed out.

Anglický abstrakt

We establish conditions guaranteeing that all eventually positive increasing solutions of a half-linear delay differential equation are regularly varying and derive precise asymptotic formulae for them. The results here presented are new also in the linear case and some of the observations are original also for non-functional equations. A substantial difference between the delayed and non-delayed case for eventually positive decreasing solutions is pointed out.

Klíčová slova

Half-linear differential equation; delayed differential equation; increasing solution; asymptotic behavior; regular variation

Klíčová slova v angličtině

Half-linear differential equation; delayed differential equation; increasing solution; asymptotic behavior; regular variation

Autoři

ŘEHÁK, P.; MATUCCI, S.

Rok RIV

2021

Vydáno

15.12.2020

ISSN

1805-3610

Periodikum

Mathematics for applications

Svazek

9

Číslo

2

Stát

Česká republika

Strany od

132

Strany do

142

Strany počet

10

URL

http://ma.fme.vutbr.cz/archiv/9_2/ma_9_2_rehak_final.pdf

BibTex

@article{BUT167824,
  author="Pavel {Řehák} and Serena {Matucci}",
  title="On increasing solutions of half-linear delay differential equations",
  journal="Mathematics for applications",
  year="2020",
  volume="9",
  number="2",
  pages="132--142",
  doi="10.13164/ma.2020.10",
  issn="1805-3610",
  url="http://ma.fme.vutbr.cz/archiv/9_2/ma_9_2_rehak_final.pdf"
}