On the characterization of the function \(f(x)=x\) by functional equations. II (Q1074796)
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scientific article; zbMATH DE number 3948903
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the characterization of the function \(f(x)=x\) by functional equations. II |
scientific article; zbMATH DE number 3948903 |
Statements
On the characterization of the function \(f(x)=x\) by functional equations. II (English)
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1986
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On continue les recherches, faites dans la première partie [ibid. 28, 151--155 (1985; Zbl 0561.39002)], sur le système d'équations fonctionnelles \(f(\phi (x))=\phi (f(x))\), \(x\in E\subset R\), \(f,\phi: E\to E\), \(\phi\in \Phi\), où \(\Phi\) est un ensemble de fonctions, d'abord en complétant les résultats obtenus pour le cas où on a la seule solution \(f(x)=x\) et puis en obtenant des conditions pour que le système admet aussi d'autres solutions.
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systems
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characterization of the identity
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functional equations
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