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Description
  • The purpose of this paper is twofold. First, we want to initiate a study of regular variation on time scales by introducing this concept in such a way that it unifies and extends well studied continuous and discrete cases. Some basic properties of regularly varying functions on time scales will be established as well. Second, we give conditions under which certain solutions of linear second order dynamic equations are regularly varying. Open problems and possible directions for a future research are discussed, too.
  • The purpose of this paper is twofold. First, we want to initiate a study of regular variation on time scales by introducing this concept in such a way that it unifies and extends well studied continuous and discrete cases. Some basic properties of regularly varying functions on time scales will be established as well. Second, we give conditions under which certain solutions of linear second order dynamic equations are regularly varying. Open problems and possible directions for a future research are discussed, too. (en)
Title
  • Regular variation on time scales and dynamic equations
  • Regular variation on time scales and dynamic equations (en)
skos:prefLabel
  • Regular variation on time scales and dynamic equations
  • Regular variation on time scales and dynamic equations (en)
skos:notation
  • RIV/00216224:14410/08:00057165!RIV13-GA0-14410___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/07/0145), P(KJB100190701), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 392048
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14410/08:00057165
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Time scale; Regularly varying function; Karamata function; Regularly varying sequence; Differential equation; Difference equation; Dynamic equation. (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • AU - Australské společenství
http://linked.open...ontrolniKodProRIV
  • [7C0A6EFD7CE7]
http://linked.open...i/riv/nazevZdroje
  • The Australian Journal of Mathematical Analysis and Applications
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 5
http://linked.open...iv/tvurceVysledku
  • Řehák, Pavel
http://linked.open...n/vavai/riv/zamer
issn
  • 1449-5910
number of pages
http://localhost/t...ganizacniJednotka
  • 14410
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