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ArticleOriginal scientific text

Title

Empathy theory and the Laplace transform

Authors 1

Affiliations

  1. Faculty of Science, University of Pretoria, Pretoria 0002, South Africa

Abstract

This paper is concerned with double families of evolution operators employed in the study of dynamical systems in which cause and effect are represented in different Banach spaces. The main tool is the Laplace transform of vector-valued functions. It is used to define the generator of the double family which is a pair of unbounded linear operators and relates to implicit evolution equations in a direct manner. The characterization of generators for a special class of evolutions is presented.

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Banach Center Publications
1997/38/1
Export to PBN, Opens in new tab
Pages:
325-338
Main language of publication
English
Published
1997
Exact and natural sciences