Some Functional Equations in Groups and Rings.
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Publication:5574044
DOI10.7146/math.scand.a-10889zbMath0183.04004OpenAlexW18431339MaRDI QIDQ5574044
J. Karpf, Anders Thorup, Börge Jessen
Publication date: 1968
Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/166049
Related Items (37)
Characterization of \(t\)-affine differences and related forms ⋮ Generalized fundamental equation of information of multiplicative type ⋮ Unnamed Item ⋮ Bounded solutions and stability of functional equations for two variable functions ⋮ Unnamed Item ⋮ The fundamental equation of information and its generalizations ⋮ Fundamental equation of information revisited ⋮ Sulla stabilita' degli omomorfismi e sue applicazioni alle equazioni funzionali ⋮ Generalized characteristic equation of branching information measures ⋮ Unnamed Item ⋮ Remarks on hyperstability of the Cauchy functional equation ⋮ Unnamed Item ⋮ On some recent developments in Ulam's type stability ⋮ On Ulam stability of the inhomogeneous version of the general linear functional equation ⋮ Homogeneous tri-additive forms and derivations ⋮ Characterization of affine differences and related forms ⋮ Unnamed Item ⋮ Infinitesimal dilogarithms, extensions and cohomology ⋮ A Functional Equation View of an Addition Rule ⋮ Non-Archimedean hyperstability of a Cauchy-Jensen type functional equation ⋮ Vector valued Banach limits and generalizations applied to the inhomogeneous Cauchy equation ⋮ Hyperstability of the \(k\)-cubic functional equation in non-Archimedean Banach spaces ⋮ On Cauchy differences of all orders ⋮ Hyperstability of the Cauchy equation on restricted domains ⋮ A HYPERSTABILITY RESULT FOR THE CAUCHY EQUATION ⋮ The cocycle equation on commutative semigroups ⋮ Hyperstability of cubic functional equation in ultrametric spaces ⋮ Hyperstability of a mixed type cubic-quartic functional equation in ultrametric spaces ⋮ Characterizations of derivations ⋮ On the general solutions of a system of functional equations on a commutative semigroup ⋮ Bounded solutions of \(n\)-cocycle and related equations on amenable semigroups ⋮ Some hyperstability results in non-Archimedean 2-Banach space for a \(\sigma\)-Jensen functional equation ⋮ Some Functional Equations Related to the Characterizations of Information Measures and Their Stability ⋮ Combinatorial geometry ⋮ Remarks on stability of some inhomogeneous functional equations ⋮ On generalized cocycle equations ⋮ On the general solution of a system of functional equations
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