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

journal article in Scopus

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.

English 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

15.12.2020

ISSN

1805-3610

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",
  year="2020",
  volume="9",
  number="2",
  month="December",
  pages="132--142",
  issn="1805-3610"
}