Stability of a generalization of Wilson's equation
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Publication:291280
DOI10.1007/s00010-015-0356-0zbMath1346.39039OpenAlexW832027766MaRDI QIDQ291280
Bouikhalene Belaid, Elqorachi Elhoucien
Publication date: 7 June 2016
Published in: Aequationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00010-015-0356-0
Hyers-Ulam stabilityinvolutiongroupWilson's functional equationsuperstabilityD'Alembert's functional equation
Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)
Related Items (7)
A note on Wilson's functional equation ⋮ More about Wilson's functional equation ⋮ Generalized Hyers-Ulam stability of trigonometric functional equations ⋮ An extension of Van Vleck's functional equation for the sine ⋮ Solutions and stability of a variant of Wilson's functional equation ⋮ A fully pexiderized variant of d'Alembert's functional equations on monoids ⋮ Superstability of Kannappan's and Van vleck's functional equations
Cites Work
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- A link between Wilson's and d'Alembert's functional equations
- A fixed points approach to stability of the Pexider equation
- Properties of d'Alembert functions
- Cosine functions revisited
- On a variant of Wilson's functional equation on groups
- The superstability of d'Alembert's functional equation on the Heisenberg group
- The stability of multiplicative semigroup homomorphisms to real normed algebras.
- Solution of a problem of Ulam
- On approximation of approximately linear mappings by linear mappings
- D'Alembert's functional equations on metabelian groups
- D'Alembert's and Wilson's functional equations on step 2 nilpotent groups
- On Wilson's functional equations
- Stability of Wilson's functional equations with involutions
- D'Alembert's functional equation on topological groups
- Factorization of cosine functions on compact connected groups
- D'Alembert's functional equation on compact groups
- On the stability of trigonometric functional equations
- The superstability of d'Alembert's functional equation on step 2 nilpotent groups
- On the stability of the pexiderized trigonometric functional equation
- D'Alembert's functional equation on groups
- The Stability of the Cosine Equation
- On a Theorem of Baker, Lawrence and Zorzitto
- The Stability of the Equation f(x + y) = f(x)f(y)
- On the Stability of the Linear Mapping in Banach Spaces
- The stability of the exponential equation
- Functional Equations and Fourier Analysis
- Functional Equations on Groups
- On the Stability of the Linear Functional Equation
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