Detail publikace

Positive decreasing solutions of half-linear dynamic equations

Originální název

Positive decreasing solutions of half-linear dynamic equations

Anglický název

Positive decreasing solutions of half-linear dynamic equations

Jazyk

en

Originální abstrakt

The aim of this contribution is to provide complete and precise information on asymptotic behaviour of all positive decreasing solutions of certain half-linear dynamic equation. We will show that these solutions are normalized regularly or rapidly varying if and only if the coeficient p satisfies certain integral conditions. Moreover, the index of regular variation will be shown to be related to the limit behaviour of the coefficient p. In addition to the theory of rapid variation we established a missing representation formula for rapidly varying functions on time scales.

Anglický abstrakt

The aim of this contribution is to provide complete and precise information on asymptotic behaviour of all positive decreasing solutions of certain half-linear dynamic equation. We will show that these solutions are normalized regularly or rapidly varying if and only if the coeficient p satisfies certain integral conditions. Moreover, the index of regular variation will be shown to be related to the limit behaviour of the coefficient p. In addition to the theory of rapid variation we established a missing representation formula for rapidly varying functions on time scales.

BibTex


@inproceedings{BUT72474,
  author="Jiří {Vítovec}",
  title="Positive decreasing solutions of half-linear dynamic equations",
  annote="The aim of this contribution is to provide complete and precise information on asymptotic behaviour of all positive decreasing solutions of certain half-linear dynamic equation. We will show that these solutions are normalized regularly or rapidly varying if and only if the coeficient p satisfies certain integral conditions. Moreover, the index of regular variation will be shown to be related to the limit behaviour of the coefficient p. In addition to the theory of rapid variation we established a missing representation formula for rapidly varying functions on time scales.",
  address="Univerzita obrany",
  booktitle="XXIX International Colloquium on the Management of the Educational Process. Proceedings.",
  chapter="72474",
  howpublished="print",
  institution="Univerzita obrany",
  year="2011",
  month="may",
  pages="1--9",
  publisher="Univerzita obrany",
  type="conference paper"
}