Skip to main content
Log in

The cardinality of the set of discontinuous solutions of a class of functional equations

  • Research Papers
  • Published:
aequationes mathematicae Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Aczél, J.,Lectures on functional equations and their applications. Academic Press, New York-London, 1966.

    Google Scholar 

  2. Brillouët, N.,Equations fonctionelles et théorie des groupes. Publ. Math. Univ. Nantes, 1983.

  3. Dhombres, J.,Finding subgroups. Aequationes Math.24 (1982), 267–269.

    Google Scholar 

  4. Sablik, M.,Remark. Aequationes Math.26 (1984), 274.

    Google Scholar 

  5. Urban, P.,Continuous solutions of the functional equation f(xf(y) k +yf(x) l)=f(x)f(y). Demonstratio Math.16 (1983), 1019–1025.

    MATH  MathSciNet  Google Scholar 

  6. Sablik, M. andUrban, P.,On the solutions of the equation f(xf(y) k +yf(x) l)=f(x)f(y). Demonstratio Math.18 (1985), 863–867.

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Dedicated to Professor Otto Haupt with best wishes on his 100th birthday.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Benz, W. The cardinality of the set of discontinuous solutions of a class of functional equations. Aeq. Math. 32, 58–62 (1987). https://doi.org/10.1007/BF02311300

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02311300

AMS (1980) subject classification

Navigation