Ulam stability problem for a mixed type of cubic and additive functional equation

zbMath1132.39022MaRDI QIDQ2469417

Hark-Mahn Kim, Kil-Woung Jun

Publication date: 5 February 2008

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

zbMATH Keywords

Hyers-Ulam stabilityBanach moduleadditive functional equationcubic functional equationcubic mapping

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52)

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Hyers-Ulam stability of a finite variable mixed type quadratic-additive functional equation in quasi-Banach spaces ⋮ On a cubic-quadratic equation relative to elliptic curves ⋮ Stability problem for Jensen-type functional equations of cubic mappings ⋮ Intuitionistic random almost additive-quadratic mappings ⋮ AQCQ-functional equation in non-Archimedean normed spaces ⋮ Unnamed Item ⋮ General solution and stability of additive-quadratic functional equation in IRN-space ⋮ Generalized Hyers-Ulam stability of a general mixed additive-cubic functional equation in quasi-Banach spaces ⋮ Stability of a mixed additive and cubic functional equation in quasi-Banach spaces ⋮ Approximate quartic and quadratic mappings in quasi-Banach spaces ⋮ Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces ⋮ Fixed points and stability of a generalized quadratic functional equation ⋮ Stability of a generalized Euler-Lagrange type additive mapping and homomorphisms in \(C^{\ast}\)-algebras ⋮ Stability of a generalized quadratic functional equation in Schwartz distributions ⋮ Refined functional equations stemming from cubic, quadratic and additive mappings

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