Result Details

Positive decreasing solutions of half-linear dynamic equations

VÍTOVEC, J. Positive decreasing solutions of half-linear dynamic equations. In XXIX International Colloquium on the Management of the Educational Process. Proceedings. Brno: Univerzita obrany, 2011. p. 1-9. ISBN: 978-80-7231-779-0.
Type
conference paper
Language
English
Authors
Vítovec Jiří, Mgr., Ph.D., UMAT (FEEC)
Abstract

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.

Keywords

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

Published
2011
Pages
1–9
Proceedings
XXIX International Colloquium on the Management of the Educational Process. Proceedings.
Conference
XXIX International Colloquium on the Management of Educational Process
ISBN
978-80-7231-779-0
Publisher
Univerzita obrany
Place
Brno
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"
}
Departments
Department of Mathematics (UMAT)
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