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.
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页码：142 / 148
页数：6
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