Detail publikace

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

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

Jazyk

en

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 $r(t)>0$).

BibTex


@article{BUT50470,
  author="Jiří {Vítovec}",
  title="A telescoping principle for oscillation of the second order half-linear dynamic equations on time scales",
  annote="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 $r(t)>0$).",
  chapter="50470",
  journal="Tatra Mountains Mathematical Publications",
  number="11",
  volume="43",
  year="2009",
  month="november",
  pages="243--255",
  type="journal article"
}