DOI: 10.7494/opmath.2007.27.2.253 ISSN: 1232-9274

On the equivalence of pre-Schröder equations

Józef Kalinowski
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In the paper the equivalence of the system of two pre-Schröder functional equations (equations \((S_n)\), \((S_m)\) for \(m \gt n \geq 3\), \(n, m \in \mathbb{N}\)) and the whole system \((S)\), is considered. The results solve the problem of Gy. Targonski [Gy. Targonski, Problem P 63, Aequationes Math. 4 (1970), 251] in a particular case.

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