Publication detail

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

VÍTOVEC, J.

Original Title

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

English Title

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

Type

journal article - other

Language

en

Original Abstract

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.

English abstract

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.

Keywords

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

RIV year

2010

Released

10.11.2010

ISBN

1212-5059

Periodical

Archivum Mathematicum

Year of study

46 (2010)

Number

4

State

CZ

Pages from

263

Pages to

284

Pages count

22

Documents

BibTex 


@article{BUT50519,
  author="Jiří {Vítovec}",
  title="Theory of rapid variation on time scales with applications to dynamic equations",
  annote="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.",
  chapter="50519",
  journal="Archivum Mathematicum",
  number="4",
  volume="46 (2010)",
  year="2010",
  month="november",
  pages="263--284",
  type="journal article - other"
}