This is the abstract of the paper
  "On an extension of Kato-Voigt perturbation theorem for substochastic semigroups and its application"
by Jacek Banasiak.

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Abstract: The aim of this paper is to discuss some recent developments of the
perturbation method introduced first by Kato for the Kolmogoroff
equation and later extended by Voigt and Arlotti to deal with a
range of problems related to the solvability of the so-called Master
Equation. The paper consists of two parts. In the first we recall and
unify some abstract results on generation of substochastic semigroups.
In the second we perform a detailed analysis of an equation from the
polimer degradation theory to demonstrate a number of possible generation
cases.

Key words: perturbation theory for semigroups, substochastic
semigroups, fragmentation model
AMS subject classification: 47D06, 34G10.

Professor Jacek Banasiak
Department of Mathematics
and Applied Mathematics
University of Natal, Durban 4041
South Africa
tel:+27 31 2603000
fax:+27 31 2602632
e-mail: banasiak@scifs1.und.ac.za
Internet:http://macaw.cs.und.ac.za/~banasiak

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