On a system of functional equations

DOI10.1007/BF01817553zbMath0157.46202OpenAlexW2033522930MaRDI QIDQ5920822

Akinori Nishiyama, Sôichi Horinouchi

Publication date: 1968

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

Full work available at URL: https://eudml.org/doc/135935

zbMATH Keywords

functional analysis

Related Items (20)

Polynomially linked additive functions. II ⋮ Linked pairs of additive functions ⋮ Characterizations of derivations on spaces of smooth functions ⋮ Hyers-Ulam stability of derivations and linear functions ⋮ Derivations and linear functions along rational functions ⋮ Certain functional identities on division rings ⋮ An alternative equation for generalized monomials ⋮ Quadratic functions satisfying an additional equation ⋮ Multiadditive functions satisfying certain functional equations ⋮ Quadratic functions fulfilling an additional condition along hyperbolas or the unit circle ⋮ Conditional equations for quadratic functions ⋮ On derivations with respect to finite sets of smooth functions ⋮ Polynomially linked additive functions ⋮ Functional equations characterizing derivations and homomorphisms on fields ⋮ Some relations between additive functions. I ⋮ Characterizations of derivations ⋮ On the system of functional equations \(f(x+y) = f(x) + f(y)\) and \(f(xy) = p(x)f(y) + q(y)f(x)\) ⋮ On the functional equation of Cauchy ⋮ An alternative equation for polynomial functions ⋮ Characterizing ring derivations of all orders via functional equations: results and open problems

Cites Work

• Some unsolved problems in the theory of functional equations
• On Cauchy's Functional Equation
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