Stability of a quadratic Jensen type functional equation in the spaces of generalized functions

DOI10.1016/j.jmaa.2006.01.041zbMath1104.39023OpenAlexW2055741785MaRDI QIDQ852854

Soon-Yeong Chung, Young-Su Lee

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.2006.01.041

zbMATH Keywords

stabilityheat kernelquadratic functional equationJensen functional equationGauss transformFourier hyperfunctionsSchwartz 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)

Generalized stability of classical polynomial functional equation of order \(n\) ⋮ Stability for quadratic functional equation in the spaces of generalized functions

Cites Work

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• A characterization for Fourier hyperfunctions
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• On the stability of a quadratic Jensen type functional equation
• 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
• Fourier hyperfunctions as the boundary values of smooth solutions of heat equations
• A calculus approach to hyperfunctions III
• On the Stability of the Linear Functional Equation
• Distributional methods for functional equations

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