Detail publikace

Positive decreasing solutions of half-linear dynamic equations

VÍTOVEC, J.

Originální název

Positive decreasing solutions of half-linear dynamic equations

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

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.

Klíčová slova

Regularly varying function; rapidly varying function; time scale; Representation theorem; half-linear dynamic equation

Autoři

VÍTOVEC, J.

Rok RIV

2011

Vydáno

19. 5. 2011

Nakladatel

Univerzita obrany

Místo

Brno

ISBN

978-80-7231-779-0

Kniha

XXIX International Colloquium on the Management of the Educational Process. Proceedings.

Strany od

1

Strany do

9

Strany počet

9

BibTex

@inproceedings{BUT72474,
  author="Jiří {Vítovec}",
  title="Positive decreasing solutions of half-linear dynamic equations",
  booktitle="XXIX International Colloquium on the Management of the Educational Process. Proceedings.",
  year="2011",
  pages="1--9",
  publisher="Univerzita obrany",
  address="Brno",
  isbn="978-80-7231-779-0"
}