Publication detail

On increasing solutions of half-linear delay differential equations

ŘEHÁK, P. MATUCCI, S.

English title

On increasing solutions of half-linear delay differential equations

Type

Scopus Article

Language

en

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 in English

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

Released

2020-12-15

ISSN

1805-3610

Journal

Mathematics for applications

Volume

9

Number

2

Pages from–to

132–142

Pages count

10

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"
}