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  • Ukážeme, že řešení Volterrových integrodiferenciálních rovnic jsou analytická, pokud vedoucí operátor generuje analytickou semigrupu a konvoluční jádro je v nějakém prostoru analytických funkcí. Podobných výsledků bylo dosud dosaženo pouze pomocí Laplaceovy transformace. Ukážeme, že je možné podobných výsledků dosáhnout pomocí semigrupového přístupu. (cs)
  • We show that solutions of Volterra integrodifferential equations are analytic provided the leading operator generates an analytic semigroup and the convolution kernel is in a space of analytic functions. Similar results have been obtained via Laplace transform, so far. We show that it is possible to obtain such results using a semigroup approach.
  • We show that solutions of Volterra integrodifferential equations are analytic provided the leading operator generates an analytic semigroup and the convolution kernel is in a space of analytic functions. Similar results have been obtained via Laplace transform, so far. We show that it is possible to obtain such results using a semigroup approach. (en)
Title
  • Analytic solutions of Volterra equations via semigroups
  • Analytic solutions of Volterra equations via semigroups (en)
  • Analytická řešení Volterrových rovnic pomocí semigrup (cs)
skos:prefLabel
  • Analytic solutions of Volterra equations via semigroups
  • Analytic solutions of Volterra equations via semigroups (en)
  • Analytická řešení Volterrových rovnic pomocí semigrup (cs)
skos:notation
  • RIV/00216208:11320/08:00100652!RIV09-MSM-11320___
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  • Analytic; solutions; Volterra; equations; semigroups (en)
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