On a class of functional equations with several unknown functions

DOI10.1007/BF01834037zbMath0298.39002OpenAlexW2116452418MaRDI QIDQ1214595

Halina Światak

Publication date: 1975

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/136480

Mathematics Subject Classification ID

Functional equations and inequalities (39B99)

Cites Work

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• Lösung einer allgemeinen Funktionalgleichung mit fünf unbekannten Funktionen von verschiedenen Veränderlichenzahlen. (Solution of a general functional equation of five unknown functions of different arity)
• Connections between symmetry or asymmetry of the equations $f_1(x_1+...+x_n) = ∑_{(i_1},...,i_n)} f(x_i_1)...f_n(x_i_n)$ and their solutions
• On some symmetrical equations of the form $f_1(x_1+...+x_n) = ∑_{i_1,...,i_n}) f_1(x_i_1)...f_n(x_i_n)$

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