Publication detail

Oscillatory properties of solutions to certain two-dimensional systems of non-linear ordinary differential equations

LOMTATIDZE, A. DOSOUDILOVA, M. SREMR, J.

Czech title

Oscilatorické vlastnosti řešení dvoudimenzionálních systémů nelineárních obyčejných diferenciálních rovnic

English title

Oscillatory properties of solutions to certain two-dimensional systems of non-linear ordinary differential equations

Type

journal article in Web of Science

Language

en

Original abstract

For the system of so-called half-linear equations new oscillation criteria are given. As a consequence of the main results we derive, among others, a Hartman–Wintner type theorem for the system considered which, make more complete results appearing in the existing literature.

Czech abstract

V článku jsou nalezena nová kritéria oscilatoričnosti systémů tzv. pololineárních diferenciálních rovnic. Jako jeden z důsledků hlavních výsledků je odvozena věta Hartman-Wintnerova typu, ktrerá zobecňuje některé výsledky známe v odborné literatuře.

English abstract

For the system of so-called half-linear equations new oscillation criteria are given. As a consequence of the main results we derive, among others, a Hartman–Wintner type theorem for the system considered which, make more complete results appearing in the existing literature.

Keywords in Czech

Pololineární systém; Kamenevova věta; Hartman-Wintnerova věta; oscilatoričnost

Keywords in English

Half-linear system; Kamenev theorem; Hartman–Wintner theorem; Oscillation

RIV year

2015

Released

01.06.2015

Publisher

PERGAMON-ELSEVIER SCIENCE LTD

Location

ENGLAND

ISSN

0362-546X

Volume

2015(120)

Number

1

Pages from–to

57–75

Pages count

19

BIBTEX


@article{BUT114077,
  author="Aleksandre {Lomtatidze} and Jiří {Šremr} and Monika {Dosoudilová},
  title="Oscillatory properties of solutions to certain two-dimensional systems of non-linear ordinary differential equations",
  year="2015",
  volume="2015(120)",
  number="1",
  month="June",
  pages="57--75",
  publisher="PERGAMON-ELSEVIER SCIENCE LTD ",
  address="ENGLAND  ",
  issn="0362-546X"
}