Reformulation of some functional equations in the space of Gevrey distributions and regularity of solutions

DOI10.1007/PL00000118zbMath0945.39013OpenAlexW2021154796MaRDI QIDQ1972863

Soon-Yeong Chung

Publication date: 8 October 2000

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00000118

zbMATH Keywords

Pexider equationJensen equationGevrey differentiable solutionsGevrey distributionsPompeiu equation

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (13)

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 ⋮ Pompeiu's functional equations between unital algebras ⋮ Stability of functional equations in the spaces of distributions and hyperfunctions. ⋮ Stability of a quadratic functional equation in the spaces of generalized functions ⋮ 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 a Jensen type equation in the space of generalized functions ⋮ Stability of an Euler-Lagrange-Rassias equation in the spaces of generalized functions

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