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

DOI10.1155/2008/210615zbMath1153.39033OpenAlexW4239123132WikidataQ59217967 ScholiaQ59217967MaRDI QIDQ954857

Young-Su Lee

Publication date: 18 November 2008

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

Full work available at URL: https://eudml.org/doc/129545

zbMATH Keywords

heat equationHyers-Ulam stabilitytempered distributionsquadratic functional equationgeneralized functionsFourier hyperfunctions

Mathematics Subject Classification ID

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 (5)

On the stability of a mixed type functional equation in generalized functions ⋮ Stability of a Jensen type quadratic-additive functional equation under the approximately conditions ⋮ Stability of quartic functional equations in the spaces of generalized functions ⋮ 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

• On the stability of a new Pexider-type functional equation
• On the Hyers-Ulam stability of the functional equations that have the quadratic property
• Stability of functional equations in the spaces of distributions and hyperfunctions.
• Some functional equations in the spaces of generalized functions
• 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
• Stability of cubic functional equation in the spaces of generalized functions
• A distributional version of functional equations and their stabilities
• On the general solution of a functional equation in the domain of distributions
• D'Alembert Functional Equations in Distributions
• The Cauchy Functional Equations in Distributions

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