On some functional equations of Gołąb-Schinzel type

DOI10.1007/BF01818494zbMath0742.39007MaRDI QIDQ1180495

Nicole Brillouët-Belluot

Publication date: 27 June 1992

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

Full work available at URL: https://eudml.org/doc/137433

zbMATH Keywords

topological vector spaceDarboux propertysubsemigroupBaire class Ifunctional equations of Gołąb-Schinzel typesubgroupoids

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Functional equations for functions with more general domains and/or ranges (39B52) Functional equations and inequalities (39B99)

Related Items (10)

Stability problem for the composite type functional equations ⋮ On solutions of a composite equation related to subsemigroups determination ⋮ Stability problem for the Gołąb-Schinzel type functional equations ⋮ Approximate solutions of the generalized Gołąb-Schinzel equation ⋮ Associative solutions of a composite generalization of addition formulae ⋮ A FUNCTIONAL INEQUALITY FOR THE GAMMA FUNCTION ⋮ On solutions of a common generalization of the Gołąb-Schinzel equation and of the addition formulae ⋮ On the stability of the Gołąb--Schinzel functional equation ⋮ Semigroup-valued solutions of the Gołąb-Schinzel type functional equation ⋮ On methods for solving composite functional equations

Cites Work

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• Equations fonctionnelles et recherche de sous-groupes
• The cardinality of the set of discontinuous solutions of a class of functional equations
• On the general solution of the functional equation \(f(x+yf(x)) = f(x)f(y)\)

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