Stability of functional equations on restricted domains in a group and their asymptotic behaviors

DOI10.1016/J.CAMWA.2010.09.003zbMath1205.39022OpenAlexW2087899370MaRDI QIDQ623219

Jae-Young Chung

Publication date: 13 February 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.09.003

zbMATH Keywords

asymptotic behaviordistributionsCauchy equationPexider equationHyers-Ulam stabilityconvolutions

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 (19)

Unnamed Item ⋮ Approximate Drygas mappings on a set of measure zero ⋮ Unnamed Item ⋮ Stability problem in a set of Lebesgue measure zero of bi-additive functional equation ⋮ Stability of Jensen-type functional equations on restricted domains in a group and their asymptotic behaviors ⋮ Heat kernel method for quintic and sextic equations in distributions and hyperfunctions ⋮ On the generalized Hyers-Ulam stability of multi-quadratic mappings ⋮ Measure Zero Stability Problem for Drygas Functional Equation with Complex Involution ⋮ Stability of a conditional Cauchy equation ⋮ Measure zero stability problem of a new quadratic functional equation ⋮ Quadratic functional equations in a set of Lebesgue measure zero ⋮ Stability of a conditional Cauchy equation on a set of measure zero ⋮ Stability of a quartic functional equation in restricted domains ⋮ Stability of mixed additive-quadratic and additive-Drygas functional equations ⋮ Stability of a logarithmic functional equation in distributions on a restricted domain ⋮ Unnamed Item ⋮ On a Weak Version of Hyers–Ulam Stability Theorem in Restricted Domains ⋮ On the Generalized Hyers–Ulam Stability of the Pexider Equation on Restricted Domains ⋮ Conditional functional equations on restricted domains of measure zero

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