Publication detail

Oscillation criteria for two-dimensional system of non-linear ordinary differential equations

OPLUŠTIL, Z.

Czech title

Oscilatorická kritéria pro dvoudimenzionální systém nelineárních obyčejných diferenciálních rovnic

English title

Oscillation criteria for two-dimensional system of non-linear ordinary differential equations

Type

journal article in Web of Science

Language

en

Original abstract

New oscillation criteria are established for the certain system of non-linear differential equations. Among others, presented oscillatory criteria generalize well-known results of E. Hille and Z. Nehari. Moreover, they complement analogy of Hartman–Wintner theorem for the considered system.

Czech abstract

Jsou nalezena nová oscilatorická kritéria pro jistý systém nelineárních diferenciálních rovnic. Uvedená kritéria mimo jiné zobecňují velmi dobře známé výsledky E. Hille a Z. Nehariho. Navíc doplňují analogii Hartman–Wintnerovy věty pro uvažovaný systém.

English abstract

New oscillation criteria are established for the certain system of non-linear differential equations. Among others, presented oscillatory criteria generalize well-known results of E. Hille and Z. Nehari. Moreover, they complement analogy of Hartman–Wintner theorem for the considered system.

Keywords in Czech

Lineární funkcionální diferenciální rovnice, nelokální okrajová úloha, řešitelnost

Keywords in English

Two dimensional system of non-linear differential equations, oscillatory properties

Released

20.07.2016

Publisher

Bolyai Institute, University of Szeged

Location

Hungary

ISSN

1417-3875

Volume

2009

Number

36

Pages from–to

1–17

Pages count

17

BIBTEX


@article{BUT127751,
  author="Zdeněk {Opluštil} and Jiří {Šremr},
  title="Oscillation criteria for two-dimensional system of non-linear ordinary differential equations",
  year="2016",
  volume="2009",
  number="36",
  month="July",
  pages="1--17",
  publisher="Bolyai Institute, University of Szeged",
  address="Hungary",
  issn="1417-3875"
}