# Functional equations and iteration theory

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### November 19, 1999

During the last two or three decades many problems connected both with
iteration theory and functional equations were studied. In some of these
problems functional equations play a prominent, independent role in
others they are just a tool for finding the solution.
In addition to this it is interesting to apply
results from iteration theory to functional equations.
For doing this many different mathematical structures and methods are used.

In this project we propse the study of several problems from the
theory of functional equations, in particular about functional equations in
iteration theory
(cf. [45][46][22]).
The research of members of the
Institute of Mathematics of the Karl-Franzens University in Graz
through many years
indicates that these problems are interesting and promising.
Besides iteration theory in rings of formal power series the sources
of these problems are applications, algebraic aspects of additive functions,
commutable functions and functional equations of iterative type.

harald.fripertinger@kfunigraz.ac.at,

last changed: February 9, 2001