Detail publikace
On increasing solutions of half-linear delay differential equations
ŘEHÁK, P. MATUCCI, S.
Anglický název
On increasing solutions of half-linear delay differential equations
Typ
článek v časopise ve Scopus, Jsc
Jazyk
en
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 anglicky
Half-linear differential equation; delayed differential equation; increasing solution; asymptotic behavior; regular variation
Vydáno
15.12.2020
ISSN
1805-3610
Ročník
9
Číslo
2
Strany od–do
132–142
Počet stran
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"
}