Stability of cubic functional equation in the spaces of generalized functions

DOI10.1155/2007/79893zbMath1132.39025OpenAlexW3022757048WikidataQ59213249 ScholiaQ59213249MaRDI QIDQ2471952

Young-Su Lee, Soon-Yeong Chung

Publication date: 19 February 2008

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

Full work available at URL: https://eudml.org/doc/128551

zbMATH Keywords

Hyers-Ulam-Rassias stabilitycubic functional equationFourier hyperfunctionsSchwartz tempered distributions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Stability, separation, extension, and related topics for functional equations (39B82) Hyperfunctions, analytic functionals (46F15) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items

Stability of a quadratic functional equation in the spaces of generalized functions ⋮ On the stability of general cubic-quartic functional equations in Menger probabilistic normed spaces ⋮ A note to paper ``On the stability of cubic mappings and quartic mappings in random normed spaces ⋮ Stability of Quadratic and Drygas Functional Equations, with an Application for Solving an Alternative Quadratic Equation

Cites Work

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• On the stability of Euler-Lagrange type cubic mappings in quasi-Banach spaces
• Solution of the Ulam stability problem for Euler-Lagrange quadratic mappings
• A characterization for Fourier hyperfunctions
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• Stability of functional equations in the spaces of distributions and hyperfunctions.
• On the stability of functional equations and a problem of Ulam
• Stability of generalized gamma and beta functional equations
• On the stability of functional equations in Banach spaces
• The generalized Hyers--Ulam--Rassias stability of a cubic functional equation
• The stability of Cauchy equations in the space of Schwartz distributions
• Fourier hyperfunctions as the boundary values of smooth solutions of heat equations
• Stability of the orthogonality preserving property in finite-dimensional inner product spaces
• Hyers-Ulam-Rassias stability of Jordan homomorphisms on Banach algebras
• Hyers-Ulam stability of Butler-Rassias functional equation
• A calculus approach to hyperfunctions III
• On the Stability of the Linear Mapping in Banach Spaces
• On the Stability of the Linear Functional Equation
• Stability of functional equations in several variables