Approximately additive Schwartz distributions

DOI10.1016/J.JMAA.2006.01.010zbMath1104.39022OpenAlexW1966642600MaRDI QIDQ852859

Jae-Young Chung

Publication date: 15 November 2006

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.2006.01.010

zbMATH Keywords

stabilityheat kernelCauchy functional equationGauss transformRassias inequalitySchwartz (tempered) distributions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Heat equation (35K05) Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (2)

Remarks on Stability of the Linear Functional Equation in Single Variable ⋮ Fixed points of a mapping and Hyers-Ulam stability

Cites Work

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• Hyers-Ulam-Rassias stability of Cauchy equation in the space of Schwartz distributions
• On stability of additive mappings
• A characterization for Fourier hyperfunctions
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Some functional equations in the spaces of generalized functions
• On the stability of functional equations in Banach spaces
• On the Hyers-Ulam stability of \(\psi\)-additive mappings
• The stability of Cauchy equations in the space of Schwartz distributions
• Reformulation of some functional equations in the space of Gevrey distributions and regularity of solutions
• A calculus approach to hyperfunctions III
• On the Stability of the Linear Mapping in Banach Spaces
• On the asymptoticity aspect of Hyers-Ulam stability of mappings
• On the Stability of the Linear Functional Equation
• Distributional methods for functional equations

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