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  • In this paper we introduce a class of left shift semigroups that are differentiable. With help of perturbation theory for differentiable semigroups we show that solutions of an integrodifferential equation can be infinitely differentiable if the convolution kernel is sufficiently smooth and regular.
  • In this paper we introduce a class of left shift semigroups that are differentiable. With help of perturbation theory for differentiable semigroups we show that solutions of an integrodifferential equation can be infinitely differentiable if the convolution kernel is sufficiently smooth and regular. (en)
  • V tomto článku představujeme třídu levých shiftů, které jsou diferencovatelné. Pomocí teorie perturbací pro diferencovatelné semigrupy ukazujeme, že řešení integrodiferenciální rovnice jsou nekonečně diferencovatelná, pokud je konvoluční jádro dostatečně hladké a regulární. (cs)
Title
  • Smooth solutions of Volterra equations via semigroups
  • Smooth solutions of Volterra equations via semigroups (en)
  • Hladká řešení Volterrových rovnic pomocí semigrup (cs)
skos:prefLabel
  • Smooth solutions of Volterra equations via semigroups
  • Smooth solutions of Volterra equations via semigroups (en)
  • Hladká řešení Volterrových rovnic pomocí semigrup (cs)
skos:notation
  • RIV/00216208:11320/08:00100542!RIV09-MSM-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GP201/06/P171), P(LC06052), Z(MSM0021620839)
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 395445
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/08:00100542
http://linked.open...riv/jazykVysledku
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  • Smooth; solutions; Volterra; equations; semigroups (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • AU - Australské společenství
http://linked.open...ontrolniKodProRIV
  • [9341365FB7EA]
http://linked.open...i/riv/nazevZdroje
  • Bulletin of the Australian Mathematical Society
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http://linked.open...vavai/riv/projekt
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http://linked.open...v/svazekPeriodika
  • 78
http://linked.open...iv/tvurceVysledku
  • Bárta, Tomáš
http://linked.open...ain/vavai/riv/wos
  • 000261417000005
http://linked.open...n/vavai/riv/zamer
issn
  • 0004-9727
number of pages
http://localhost/t...ganizacniJednotka
  • 11320
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