On a general bilinear functional equation

DOI10.1007/S00010-021-00819-5zbMath1479.39029OpenAlexW3174814603MaRDI QIDQ2055266

Justyna Sikorska, Anna Bahyrycz

Publication date: 6 December 2021

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

Full work available at URL: https://doi.org/10.1007/s00010-021-00819-5

zbMATH Keywords

linear equationHamel basisalgebraic dependencefield extensionadditive functionbiadditive function

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Systems of functional equations and inequalities (39B72)

Related Items (3)

On a general \(n\)-linear functional equation ⋮ Computer assisted investigation of alienness of linear functional equations ⋮ On stability of a general bilinear functional equation

Cites Work

• Relations de dépendance entre les équations fonctionnelles de Cauchy. (Inter-relations between Cauchy functional equations)
• On a class of linear functional equations without range condition
• Alien Functional Equations: A Selective Survey of Results
• On a functional equation connected with bi-linear mappings and its Hyers-Ulam stability
• Über eine Klasse von Funktionalgleichungen
• On stability of the general linear equation
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