On Hyers-Ulam Stability of Monomial Functional Equations

Article

Key words and phrases

stability of functional equations monomial functions 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    A. Dinghas,Zur Theorie der gewöhnlichen Differentialgleichungen. Ann. Acad. Sci. Fennicae, Sen A I,375 (1966).Google Scholar
  2. [2]
    G. L. Forti, Hyers-Ulam stability of functional equations in several variables.Aequationes Math. 50 (1995), 142–190.CrossRefMathSciNetGoogle Scholar
  3. [3]
    A. Gilányi,Charakterisierung von monomialen Funktionen und Lösung von Funktionalgleichungen mit Computern. Diss., Univ. Karlsruhe, 1995.Google Scholar
  4. [4]
    —, A characterization of monomial functions.Aequationes Math. 54 (1997), 289–307.MATHCrossRefMathSciNetGoogle Scholar
  5. [5]
    —, On locally monomial functions.Publ. Math. Debrecen 51 (1997), 343–361.MATHMathSciNetGoogle Scholar
  6. [6]
    D. H. Hyers, On the stability of the linear functional equation.Proc. Nat. Acad. Sci. USA 27 (1941), 222–224.CrossRefMathSciNetGoogle Scholar
  7. [7]
    A. Simon andP. Volkmann, Eine Charakterisierung von polynomialen Funktionen mittels der Dinghasschen Intervall-Derivierten.Results in Math. 26 (1994), 382–384.MATHMathSciNetGoogle Scholar
  8. [8]
    —, Perturbations de fonctions additives.Ann. Math. Silesianae 11 (1997), 21–27.MathSciNetGoogle Scholar
  9. [9]
    F. Skof, Sull’approssimazione delle applieazioni localmente δ-additive.Atti della Accademia delle Scienze di Torino, I. Classe 117 (1983), 377–389.MATHMathSciNetGoogle Scholar
  10. [10]
    —, Proprietà locali e approssimazione di operatori.Rend. Sem. Mat. Fis. Milano 53 (1983), 113–129.MATHCrossRefMathSciNetGoogle Scholar
  11. [11]
    L. Székelyhidi, The stability of linear functional equations.C. R. Math. Rep. Acad. Sci. Canada 3 (1981), 63–67.MATHMathSciNetGoogle Scholar
  12. [12]
    —,Convolution Type Functional Equations on Topological Abelian Groups. World Sci. Publ. Co., Singapore, 1991.Google Scholar
  13. [13]
    P. Volkmann,Die Äquivalenz zweier Ableitungsbegriffe. Diss., Freie Univ. Berlin, 1971.Google Scholar
  14. [14]
    —,On the stabilty of the Cauchy functional equation. Lecture at Lajos Kossuth University, Debrecen, 1997.Google Scholar
  15. [15]
    -, Zur Stabilität der Cauchyschen und der Hosszúschen Funktionalgleichung.Sem.LV, No.1(1998), 5 pp. (http://www.mathematik.uni-karlsruhe. de/~semlv).Google Scholar

Copyright information

© Mathematisches Seminar der Universität Hamburg 1998

Authors and Affiliations

  1. 1.Institute of Mathematics and InformaticsLajos Kossuth UniversityDebrecen, Pf.:12Hungary

Personalised recommendations