Publication detail

On the asymptotics of superlinear differential equations with a delayed argument

DVOŘÁKOVÁ, S.

Czech title

Asymptotické odhady v superlineárních diferenciálních rovnicích se zpožděním

English title

On the asymptotics of superlinear differential equations with a delayed argument

Type

journal article - other

Language

en

Original abstract

This paper formulates the asymptotic estimates of a superlinear differential equation with variable time delay. These estimates are given in terms of auxiliary functional equations and inequalities. The general results are applied to particular cases of the studied nonlinear equation.

Czech abstract

Ve článku jsou formuluvány asymptotické odhady řešení superlineárních rovnic se zpožděnou časovou proměnnou. Odhady jsou provedeny díky pomocným fukncionálním rovnicím a nerovnostem. Hlavní výsledek je aplikován na jednoduché příklady ve studovaných nelineárních rovnicích.

English abstract

This paper formulates the asymptotic estimates of a superlinear differential equation with variable time delay. These estimates are given in terms of auxiliary functional equations and inequalities. The general results are applied to particular cases of the studied nonlinear equation.

Keywords in English

Nonlinear delay differential equation, functional equation, functional inequality, asymptotic behaviour.

RIV year

2006

Released

01.12.2006

Publisher

Univerzity of Žilina

Location

Žilina

ISSN

1336-149X

Journal

Studies of the University of Žilina

Volume

20

Number

1

Pages from–to

31–38

Pages count

8

BIBTEX


@article{BUT44809,
  author="Stanislava {Dvořáková},
  title="On the asymptotics of superlinear differential equations with a delayed argument",
  journal="Studies of the University of Žilina",
  year="2006",
  volume="20",
  number="1",
  month="December",
  pages="31--38",
  publisher="Univerzity of Žilina",
  address="Žilina",
  issn="1336-149X"
}