Detail publikačního výsledku

A telescoping principle for oscillation of the second order half-linear dynamic equations on time scales

VÍTOVEC, J.

Originální název

A telescoping principle for oscillation of the second order half-linear dynamic equations on time scales

Anglický název

A telescoping principle for oscillation of the second order half-linear dynamic equations on time scales

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

We establish the so-called ``telescoping principle" for oscillation of the second order half-linear dynamic equation $$\Bl[r(t)\Phi\bl(x^{\Delta }\br)\Br]^\Delta + c(t)\Phi(x^\sigma)=0$$ on a time scale. This principle provides a method enabling us to construct many new oscillatory equations. Unlike previous works concerning the telescoping principle, we formulate some oscillation results under the weaker assumption $r(t)\not=0$ (instead $r(t)>0$).

Anglický abstrakt

We establish the so-called ``telescoping principle" for oscillation of the second order half-linear dynamic equation $$\Bl[r(t)\Phi\bl(x^{\Delta }\br)\Br]^\Delta + c(t)\Phi(x^\sigma)=0$$ on a time scale. This principle provides a method enabling us to construct many new oscillatory equations. Unlike previous works concerning the telescoping principle, we formulate some oscillation results under the weaker assumption $r(t)\not=0$ (instead $r(t)>0$).

Klíčová slova

Half-linear dynamic equation; Telescoping principle; Oscillation criteria

Klíčová slova v angličtině

Half-linear dynamic equation; Telescoping principle; Oscillation criteria

Autoři

VÍTOVEC, J.

Rok RIV

2011

Vydáno

01.11.2009

ISSN

1210-3195

Periodikum

Tatra Mountains Mathematical Publications

Svazek

43

Číslo

11

Stát

Česká republika

Strany od

243

Strany do

255

Strany počet

13

BibTex

@article{BUT50470,
  author="Jiří {Vítovec}",
  title="A telescoping principle for oscillation of the second order half-linear dynamic equations on time scales",
  journal="Tatra Mountains Mathematical Publications",
  year="2009",
  volume="43",
  number="11",
  pages="243--255",
  issn="1210-3195"
}