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ArticleOriginal scientific text

Title

Solutions with big graph of iterative functional equations of the first order

Authors 1

Affiliations

  1. Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland

Abstract

We obtain a result on the existence of a solution with big graph of functional equations of the form g(x,(x),(f(x)))=0 and we show that it is applicable to some important equations, both linear and nonlinear, including those of Abel, Böttcher and Schröder. The graph of such a solution has some strange properties: it is dense and connected, has full outer measure and is topologically big.

Keywords

ENG
iterative functional equation, big graph

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Colloquium Mathematicum
1999/82/2
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Pages:
223-230
Main language of publication
English
Received
1998-08-27
Accepted
1999-07-01
Published
1999
Exact and natural sciences