Result Details

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

VÍTOVEC, J. Theory of rapid variation on time scales with applications to dynamic equations. Archivum Mathematicum, 2010, vol. 46 (2010), no. 4, p. 263-284. ISSN: 1212-5059.
Type
journal article
Language
English
Authors
Vítovec Jiří, Mgr., Ph.D., UMAT (FEEC)
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.

Published
2010
Pages
263–284
Journal
Archivum Mathematicum, vol. 46 (2010), no. 4, ISSN 1212-5059
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"
}
Departments
Department of Mathematics (UMAT)
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