SMOOTH SOLUTIONS OF VOLTERRA EQUATIONS VIA SEMIGROUPS

Author:

BÁRTA TOMÁŠ

Abstract

AbstractIn this paper we introduce a class of left shift semigroups that are differentiable. With the 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

1. Analytic solutions of Volterra equations via semigroups

2. Evolutionary Integral Equations and Applications

3. Differentiability of perturbed semigroups and delay semigroups

4. On relatively bounded perturbations of linear C0 semigroups;Desch;Ann. Scuola Norm. Sup. Pisa Cl. Sci.,1984

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