About: q-regular variation and q-difference equations     Goto   Sponge   NotDistinct   Permalink

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Description
  • We introduce the concept of $q$-regularly varying functions and establish basic properties of such functions. Among others it is shown that considering regular variation in $q$-calculus is somehow natural and leads to interesting observations and simplifications comparing with classical continuous and discrete theories. The obtained theory is applied to an investigation of asymptotic behavior of solutions to linear second order $q$-difference equations.
  • We introduce the concept of $q$-regularly varying functions and establish basic properties of such functions. Among others it is shown that considering regular variation in $q$-calculus is somehow natural and leads to interesting observations and simplifications comparing with classical continuous and discrete theories. The obtained theory is applied to an investigation of asymptotic behavior of solutions to linear second order $q$-difference equations. (en)
Title
  • q-regular variation and q-difference equations
  • q-regular variation and q-difference equations (en)
skos:prefLabel
  • q-regular variation and q-difference equations
  • q-regular variation and q-difference equations (en)
skos:notation
  • RIV/00216305:26220/08:PU88398!RIV15-GA0-26220___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/07/0145), P(KJB100190701), Z(AV0Z10190503), Z(MSM0021630503)
http://linked.open...iv/cisloPeriodika
  • 495203
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
  • 391153
http://linked.open...ai/riv/idVysledku
  • RIV/00216305:26220/08:PU88398
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • q-calculus, regularly varying function, q-difference equation, asymptotic behavior (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV
  • [713BACAEABD9]
http://linked.open...i/riv/nazevZdroje
  • Journal of Physics A-Mathematical and Theoretical
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
  • 41
http://linked.open...iv/tvurceVysledku
  • Vítovec, Jiří
  • Řehák, Pavel
http://linked.open...n/vavai/riv/zamer
issn
  • 1751-8113
number of pages
http://localhost/t...ganizacniJednotka
  • 26220
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