The superstability of a variant of Wilson's functional equation on an arbitrary group

DOI10.1007/s13370-014-0229-zzbMath1328.39047OpenAlexW2013765290MaRDI QIDQ2516955

Driss Zeglami

Publication date: 4 August 2015

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-014-0229-z

zbMATH Keywords

Wilson's functional equationsuperstabilityPexider-type functional equationd'Alembert's equation

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (5)

Wilson's type Hilbert space valued functional equations ⋮ Superstability problem for a large class of functional equations ⋮ A variant of Jensen's functional equation on semigroups ⋮ Unnamed Item ⋮ D’Alembert’s Functional Equation and Superstability Problem in Hypergroups

Cites Work

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• On Hyers-Ulam stability of Wilson's functional equation
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• D'Alembert's functional equation on compact groups
• The superstability of d'Alembert's functional equation on step 2 nilpotent groups
• μ-Trigonometric Functional Equations and Hyers–Ulam Stability Problem in Hypergroups
• Wilson’s functional equation in algebras
• The Stability of the Cosine Equation
• The Stability of the Equation f(x + y) = f(x)f(y)
• On the Stability of the Linear Mapping in Banach Spaces
• Functional Equations on Groups
• On the Stability of the Linear Functional Equation
• Stability of functional equations in several variables

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