On the superstability of the functional equation f(xy)=yf(x)

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Keywords

Banach Space Functional Equation Differentiable Mapping Cauchy Sequence Aequationes Math 
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References

  1. [1]
    J. Baker, J. Lawrence andF. Zorzitto, The stability of the equationf(x + y) = f(x)f(y). Proc. Amer. Math. Soc.74 (1979), 242–246.MATHCrossRefMathSciNetGoogle Scholar
  2. [2]
    G. L. Forti, Hyers-Ulam stability of functional equations in several variables.Aequationes Math. 50 (1995), 143–190.MATHCrossRefMathSciNetGoogle Scholar
  3. [3]
    R. Ger, Superstability is not natural. Rocznik Naukowo-Dydaktyczny WSP w Krakowie,Prace Mat. 159 (1993), 109–123.MathSciNetGoogle Scholar
  4. [4]
    R. Ger andP. Šemrl, The stability of the exponential equation.Proc. Amer. Math. Soc. 124 (1996), 779–787.MATHCrossRefMathSciNetGoogle Scholar
  5. [5]
    D. H. Hyers, On the stability of the linear functional equation,Proc. Nat. Acad. Sci. U.S.A. 27 (1941), 222–224.CrossRefMathSciNetGoogle Scholar
  6. [6]
    D. H. Hyers andTh. M. Rassias, Approximate homomorphisms.Aequationes Math. 44 (1992), 125–153.MATHCrossRefMathSciNetGoogle Scholar
  7. [7]
    Th. M. Rassias, On the stability of the linear mapping in Banach spaces.Proc. Amer. Math. Soc. 72 (1978), 297–300.MATHCrossRefMathSciNetGoogle Scholar
  8. [8]
    S. M. Ulam,Problems in modern mathematics. Chapter VI. Science Editions, Wiley 1960.Google Scholar

Copyright information

© Mathematische Seminar 1997

Authors and Affiliations

  1. 1.Mathematics Section, College of Science & TechnologyHong-Ik UniversityChochiwonSouth Korea

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