On the superstability of generalized d'Alembert harmonic functions

zbMath1355.39033MaRDI QIDQ501564

Iz-iddine EL-Fassi

Publication date: 9 January 2017

Published in: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (Search for Journal in Brave)

zbMATH Keywords

Banach algebraabelian groupsuperstabilityd'Alembert functional 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)

Cites Work

• Superstability of approximate d'Alembert harmonic functions
• The stability of d'Alembert and Jensen type functional equations
• The superstability of d'Alembert's functional equation on the Heisenberg group
• On approximation of approximately linear mappings by linear mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Functional equations on semigroups
• Recent developments of the conditional stability of the homomorphism equation
• On the stability of the pexiderized trigonometric functional equation
• Approximately isometric and multiplicative transformations on continuous function rings
• On the stability of the linear transformation in Banach spaces
• 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
• On the Stability of the Linear Functional Equation
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