Analytic solutions of Volterra equations via semigroups

被引：0

作者：

Tomáš Bárta

机构：

[1] Charles University,Department of Mathematical Analysis, Faculty of Mathematics and Physics

来源：

Semigroup Forum | 2008年 / 76卷

关键词：

Analytic semigroups; Translation semigroups; Linear integrodifferential equations; Analytic solutions; Bergman spaces;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：142 / 148

页数：6

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