On the functional equation \(f(x+g(y))-f(y+g(y))=f(x)-f(y)\) on groups

DOI10.1007/S00010-009-2975-9zbMath1207.39036OpenAlexW1968653510MaRDI QIDQ621372

Marcin Balcerowski

Publication date: 2 February 2011

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

Full work available at URL: https://doi.org/10.1007/s00010-009-2975-9

zbMATH Keywords

abelian groupsaffine functionconditional Cauchy equation

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Functional equations for functions with more general domains and/or ranges (39B52) Orthogonal additivity and other conditional functional equations (39B55)

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