Publication detail

Oscillation and nonoscillation criteria for half-linear second order differential equations

LOMTATIDZE, A. DOŠLÝ, O.

Czech title

Oscilační a neoscilační kritéria pro pololineární diferenciální rovnice 2. řádu

English title

Oscillation and nonoscillation criteria for half-linear second order differential equations

Type

journal article - other

Language

en

Original abstract

Oscillatory properties of the second order half-linear differential equation are investigated. The studied equation is viewed as a perturbation of a nonoscillatory equation of the same form. Conditions on the perturbation term are given which guarantee that the original equation is oscillatory (nonoscillatory).

Czech abstract

V článku jsou vyšetřovány oscilatorické vlastnosti pololineárních diferenciálních rovnic druhého řádu. Studovaná rovnice je uvažována jako perturbovaná neoscilatorická rovnice stejného typu a jsou nalezeny podmínky na pertubaci zaručující, že původní rovnice je oscilatorická (neoscilatorická).

English abstract

Oscillatory properties of the second order half-linear differential equation are investigated. The studied equation is viewed as a perturbation of a nonoscillatory equation of the same form. Conditions on the perturbation term are given which guarantee that the original equation is oscillatory (nonoscillatory).

Keywords in Czech

Pololineární diferenciální rovnice druhého řádu;zobecněná Eulerova rovnice;hlavní řešení;oscilační a neoscilační kritéria

Keywords in English

Half-linear equations;generalized Euler equation;principal solution;oscillation and nonoscillation criteria

Released

03.04.2006

ISSN

0018-2079

Volume

2006 (36)

Number

2

Pages from–to

203–219

Pages count

17

BIBTEX


@article{BUT94146,
  author="Aleksandre {Lomtatidze},
  title="Oscillation and nonoscillation criteria for half-linear second order differential equations",
  year="2006",
  volume="2006 (36)",
  number="2",
  month="April",
  pages="203--219",
  issn="0018-2079"
}