Publication detail

On increasing solutions of half-linear delay differential equations

ŘEHÁK, P. MATUCCI, S.

Original Title

On increasing solutions of half-linear delay differential equations

Type

journal article in Scopus

Language

English

Original Abstract

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.

Keywords

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

Authors

ŘEHÁK, P.; MATUCCI, S.

Released

15. 12. 2020

ISBN

1805-3610

Periodical

Mathematics for applications

Year of study

9

Number

2

State

Czech Republic

Pages from

132

Pages to

142

Pages count

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"
}