Solutions and stability of generalized Kannappan's and Van Vleck's functional equations

DOI10.1515/amsil-2017-0006zbMath1400.39029OpenAlexW2963298645MaRDI QIDQ1790438

Ahmed Redouani, Elhoucien Elqorachi

Publication date: 2 October 2018

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/amsil-2017-0006

zbMATH Keywords

automorphismHyers-Ulam stabilityinvolutiond'Alembert's equationKannappan's equationVan Vleck'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) Functional equations for complex functions (39B32)

Related Items

Generalized Hyers-Ulam stability of trigonometric functional equations ⋮ Extensions of Kannappan’s and Van Vleck’s Functional Equations on Semigroups ⋮ A generalization of variant of Wilson's type Hilbert space valued functional equations ⋮ Superstability of Kannappan's and Van vleck's functional equations

Cites Work

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• Van Vleck's functional equation for the sine
• Hyers-Ulam stability of spherical functions
• On two functional equations with involution on groups related to sine and cosine functions
• Integral Van Vleck's and Kannappan's functional equations on semigroups
• The superstability of d'Alembert's functional equation on the Heisenberg group
• The stability of multiplicative semigroup homomorphisms to real normed algebras.
• On a joint generalization of Cauchy's and d'Alembert's functional equations
• Contribution to the study of two functional equations
• D'Alembert's equation and spherical functions
• An extension of Van Vleck's functional equation for the sine
• Hyers-Ulam stability of functional equations in several variables
• D'Alembert's other functional equation on monoids with an involution
• A variant of d'Alembert's functional equation
• Kannappan's functional equation on semigroups with involution
• D'Alembert's functional equation on topological groups
• On generalized d'Alembert and Wilson functional equations
• 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
• Solutions and stability of a variant of Van Vleck's and d'Alembert's functional equations
• The Stability of the Cosine Equation
• The Stability of the Equation f(x + y) = f(x)f(y)
• The stability of the exponential equation
• Functional Equations on Groups
• A Functional Equation for the Cosine
• Stability of functional equations in several variables