Stability of quartic functional equations in the spaces of generalized functions

DOI10.1155/2009/838347zbMath1167.39016OpenAlexW3171843309WikidataQ59218535 ScholiaQ59218535MaRDI QIDQ1026872

Young-Su Lee, Soon-Yeong Chung

Publication date: 6 July 2009

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55828

zbMATH Keywords

Hyers-Ulam-Rassias stabilitytempered distributionsFourier hyperfunctionsquartic functional equations

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 (16)

Stability of a quartic functional equation ⋮ On approximate homomorphisms: A fixed point approach ⋮ Stability of an additive functional equation in the spaces of generalized functions ⋮ On the stability of a mixed type functional equation in generalized functions ⋮ Stability of quadratic functional equations in generalized functions ⋮ Heat kernel method for quintic and sextic equations in distributions and hyperfunctions ⋮ Stability in generalized functions ⋮ On Selections of Some Generalized Set-Valued Inclusions ⋮ On the generalized Ulam-Hyers-Rassias stability for quartic functional equation in modular spaces ⋮ Fixed points and approximately heptic mappings in non-Archimedean normed spaces ⋮ On the stability of generalized quartic mappings in quasi-\(\beta\)-normed spaces ⋮ Orthogonal stability and nonstability of a generalized quartic functional equation in quasi-\(\beta\)-normed spaces ⋮ Asymptotic behavior of almost quartic \(\ast \)-derivations on Banach \(\ast \)-algebras ⋮ Solution and stability of Euler-Lagrange-Rassias quartic functional equations in various quasinormed spaces ⋮ Unnamed Item ⋮ The stability of generalized reciprocal-negative Fermat's equations in quasi-$\beta$-normed spaces

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