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SMOOTH SOLUTIONS OF VOLTERRA EQUATIONS VIA SEMIGROUPS
Published online by Cambridge University Press: 01 October 2008
Abstract
In 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.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 78 , Issue 2 , October 2008 , pp. 249 - 260
- Copyright
- Copyright © 2008 Australian Mathematical Society
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