Distributional methods for functional equations
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Publication:5945052
DOI10.1007/PL00000134zbMath0989.39009OpenAlexW2029697684MaRDI QIDQ5945052
Publication date: 1 August 2002
Published in: Aequationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/pl00000134
Operations with distributions and generalized functions (46F10) Functional equations for real functions (39B22)
Related Items (20)
The stability of Cauchy equations in the space of Schwartz distributions ⋮ Stability of a quadratic Jensen type functional equation in the spaces of generalized functions ⋮ Approximately additive Schwartz distributions ⋮ Stability for quadratic functional equation in the spaces of generalized functions ⋮ A remark on a logarithmic functional equation ⋮ Stability of approximately quadratic Schwartz distributions ⋮ Stability of quadratic functional equations in tempered distributions ⋮ On a stability of logarithmic-type functional equation in Schwartz distributions ⋮ Stability of functional equations in the spaces of distributions and hyperfunctions. ⋮ Distributional methods for a class of functional equations and their stabilities ⋮ Ulam problem for the cosine addition formula in Sato hyperfunctions ⋮ Hyers–Ulam stability on a generalized quadratic functional equation in distributions and hyperfunctions ⋮ A distributional version of functional equations and their stabilities ⋮ Generalized Pompeiu equation in distributions ⋮ Hyers-Ulam-Rassias stability of Cauchy equation in the space of Schwartz distributions ⋮ Stability of Jensen equations in the space of generalized functions ⋮ Stability of functional equations of drygas in the space of Schwartz distributions ⋮ Stability of a Jensen type equation in the space of generalized functions ⋮ Ulam problem for the sine addition formula in hyperfunctions ⋮ A functional equation of Aczél and Chung in generalized functions
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