On Hyers-Ulam Stability of Monomial Functional Equations
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stability of functional equations monomial functionsPreview
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References
- [1]A. Dinghas,Zur Theorie der gewöhnlichen Differentialgleichungen. Ann. Acad. Sci. Fennicae, Sen A I,375 (1966).Google Scholar
- [2]G. L. Forti, Hyers-Ulam stability of functional equations in several variables.Aequationes Math. 50 (1995), 142–190.CrossRefMathSciNetGoogle Scholar
- [3]A. Gilányi,Charakterisierung von monomialen Funktionen und Lösung von Funktionalgleichungen mit Computern. Diss., Univ. Karlsruhe, 1995.Google Scholar
- [4]—, A characterization of monomial functions.Aequationes Math. 54 (1997), 289–307.MATHCrossRefMathSciNetGoogle Scholar
- [5]—, On locally monomial functions.Publ. Math. Debrecen 51 (1997), 343–361.MATHMathSciNetGoogle Scholar
- [6]D. H. Hyers, On the stability of the linear functional equation.Proc. Nat. Acad. Sci. USA 27 (1941), 222–224.CrossRefMathSciNetGoogle Scholar
- [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]—, Perturbations de fonctions additives.Ann. Math. Silesianae 11 (1997), 21–27.MathSciNetGoogle Scholar
- [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]—, Proprietà locali e approssimazione di operatori.Rend. Sem. Mat. Fis. Milano 53 (1983), 113–129.MATHCrossRefMathSciNetGoogle Scholar
- [11]L. Székelyhidi, The stability of linear functional equations.C. R. Math. Rep. Acad. Sci. Canada 3 (1981), 63–67.MATHMathSciNetGoogle Scholar
- [12]—,Convolution Type Functional Equations on Topological Abelian Groups. World Sci. Publ. Co., Singapore, 1991.Google Scholar
- [13]P. Volkmann,Die Äquivalenz zweier Ableitungsbegriffe. Diss., Freie Univ. Berlin, 1971.Google Scholar
- [14]—,On the stabilty of the Cauchy functional equation. Lecture at Lajos Kossuth University, Debrecen, 1997.Google Scholar
- [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
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© Mathematisches Seminar der Universität Hamburg 1998