Publication detail

On non-oscillation for certain system of non-linear ordinary differential equations

OPLUŠTIL, Z.

Czech title

O neoscilatoričnosti pro jistý systém nelineárních diferenciálních rovnic

English title

On non-oscillation for certain system of non-linear ordinary differential equations

Type

journal article in Web of Science

Language

en

Original abstract

We consider the two-dimensional system of non-linear differential equations with non-integrable coefficient. In the paper, there are established new non-oscillation criteria for the considered system, which generalize known results for the corresponding linear system and for second order differential equations. In particular, the presented criteria are in compliance with the results of Hille and Nehari.

Czech abstract

Uvažujeme dvoudimenzionální systém nelineárních diferenciálních rovnic s neintegrovatelným koeficientem. V článku jsou odvozeny nová neoscilatorická kritéria pro tento systém, která zobecňují známé výsledky pro odpovídající lineární systém a diferenciální rovnici druhého řádu. Speciálně, uvedená kritéria korespondují s výsledky Hille a Nehariho.

English abstract

We consider the two-dimensional system of non-linear differential equations with non-integrable coefficient. In the paper, there are established new non-oscillation criteria for the considered system, which generalize known results for the corresponding linear system and for second order differential equations. In particular, the presented criteria are in compliance with the results of Hille and Nehari.

Keywords in Czech

Dvoudimenzionální systém nelineárních rovnic; neoscilatorické vlastnosti

Keywords in English

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

Released

06.01.2017

Publisher

WALTER DE GRUYTER GMBH

Location

GERMANY

ISSN

1072-947X

Volume

24

Number

2

Pages from–to

277–286

Pages count

10

BIBTEX


@article{BUT130893,
  author="Aleksandre {Lomtatidze} and Zdeněk {Opluštil},
  title="On non-oscillation for certain system of non-linear ordinary differential equations",
  year="2017",
  volume="24",
  number="2",
  month="January",
  pages="277--286",
  publisher="WALTER DE GRUYTER GMBH  ",
  address="GERMANY  ",
  issn="1072-947X"
}