Detail výsledku

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.
Typ
článek v časopise
Jazyk
anglicky
Autoři
Vítovec Jiří, Mgr., Ph.D., UMAT (FEKT)
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.

Rok
2010
Strany
263–284
Časopis
Archivum Mathematicum, roč. 46 (2010), č. 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"
}
Pracoviště
Ústav matematiky (UMAT)
Nahoru