Distributional methods for a class of functional equations and their stabilities

DOI10.1007/S10114-007-0977-XzbMath1190.39015OpenAlexW2151073742MaRDI QIDQ2477796

Jae-Young Chung

Publication date: 14 March 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-0977-x

zbMATH Keywords

distributionsHyers-Ulam stabilityfunctional equationsPexider equationsPompeiu equations

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)

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Cites Work

• Stability problem for Jensen-type functional equations of cubic mappings
• The \(N\)-isometric isomorphisms in linear \(N\)-normed \(C^{\ast}\)-algebras
• On a class of functional equations in distribution
• On a functional equation of Aczél and Chung
• Distributional analog of a functional equation
• A distributional version of functional equations and their stabilities
• Generalized Pompeiu equation in distributions
• On an asymptotic behavior of exponential functional equation
• Distributional method for the D'Alembert equation
• The Pexider Functional Equations in Distributions
• On the Stability of the Linear Mapping in Banach Spaces
• Stability of functional equations in several variables
• Distributional methods for functional equations

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