The stability of Cauchy equations in the space of Schwartz distributions

DOI10.1016/j.jmaa.2004.03.009zbMath1053.39043OpenAlexW1995629685MaRDI QIDQ1876706

Soon-Yeong Chung, Dohan Kim, Jae-Young Chung

Publication date: 20 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.03.009

zbMATH Keywords

distributionsHyers-Ulam stabilitygeneralized functionsCauchy functional equation

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)

Related Items (17)

Stability of a quadratic Jensen type functional equation in the spaces of generalized functions ⋮ Approximately additive Schwartz distributions ⋮ Stability of an additive functional equation in the spaces of generalized functions ⋮ Stability of approximately quadratic Schwartz distributions ⋮ Stability of quadratic functional equations in tempered distributions ⋮ On the stability of a mixed type functional equation in generalized functions ⋮ On a stability of logarithmic-type functional equation in Schwartz distributions ⋮ Stability of quadratic functional equations in generalized functions ⋮ Heat kernel method for quintic and sextic equations in distributions and hyperfunctions ⋮ Stability in generalized functions ⋮ Stability of cubic functional equation in the spaces of generalized functions ⋮ Stability of a quadratic functional equation in the spaces of generalized functions ⋮ Stability of exponential equations in Schwartz distributions ⋮ A distributional version of functional equations and their stabilities ⋮ Stability of functional equations of drygas in the space of Schwartz distributions ⋮ Stability of an Euler-Lagrange-Rassias equation in the spaces of generalized functions ⋮ Stability of quartic functional equations in the spaces of generalized functions

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