Detail publikačního výsledku

Theory of rapid variation on time scales with applications to dynamic equations

VÍTOVEC, J.

Originální název

Theory of rapid variation on time scales with applications to dynamic equations

Anglický název

Theory of rapid variation on time scales with applications to dynamic equations

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

First, we introduce two definitions of rapid variation on time scales. We will study their properties and then show the relation between them. Second, we establish necessary and sufficient conditions for all positive solutions of the second order half-linear dynamic equations on time scales to be rapidly varying.

Anglický abstrakt

First, we introduce two definitions of rapid variation on time scales. We will study their properties and then show the relation between them. Second, we establish necessary and sufficient conditions for all positive solutions of the second order half-linear dynamic equations on time scales to be rapidly varying.

Klíčová slova

Rapidly varying function; Rapidly varying sequence; Karamata function; Time scale; Second order dynamic equation.

Klíčová slova v angličtině

Rapidly varying function; Rapidly varying sequence; Karamata function; Time scale; Second order dynamic equation.

Autoři

VÍTOVEC, J.

Rok RIV

2011

Vydáno

10.11.2010

ISSN

1212-5059

Periodikum

Archivum Mathematicum

Svazek

46 (2010)

Číslo

4

Stát

Česká republika

Strany od

263

Strany do

284

Strany počet

22

BibTex

@article{BUT50519,
  author="Jiří {Vítovec}",
  title="Theory of rapid variation on time scales with applications to dynamic equations",
  journal="Archivum Mathematicum",
  year="2010",
  volume="46 (2010)",
  number="4",
  pages="263--284",
  issn="1212-5059"
}