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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
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
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" }