aequationes mathematicae

, Volume 8, Issue 3, pp 229–232 | Cite as

On the uniqueness of solutions of the functional equationϕ(x+f(x))=ϕ(x)+ϕ(f(x))

  • Marek Zdun
Research Papers

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References

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    Aczél, J.,Lectures on Functional Equations and Their Applications (Academic Press, New York-London, 1966 [Math. in Science and Engineering, Vol. 19]).Google Scholar
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    Banach, S.,Sur l'équation fonctionnelle f (x + y) = f (x) + f (y), Fund. Math.1, 123–124 (1920).Google Scholar
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    Kuczma, M.,Functional Equations in a Single Variable (PWN, Warszawa, 1968 [Monografie Matematyczne, Vol. 46]).Google Scholar
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    Kuczma, M.,A Characterization of the Exponential and Logarithmic Functions by Functional Equations, Fund. Math.52, 283–288 (1963).Google Scholar
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    Sierpiński, W.,Sur l'équation fonctionnelle f (x + y) = f (x) + f (y), Fund. Math.1, 116–122 (1920).Google Scholar

Copyright information

© Birkhäuser Verlag 1973

Authors and Affiliations

  • Marek Zdun
    • 1
  1. 1.Silesian UniversityKatowicePoland

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