The continuous solution of a functional equation of Abel

Author:

Sablik Maciej

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,General Mathematics

Reference9 articles.

1. Abel, N. H.,Sur les fonctions qui satisfont à l'équation ϕx + ϕy = ψ(xfy + yfx). In: Oeuvres Complètes de N. H. Abel rédigées par ordre du roi par B. Holmboe, tome 1. Grøndahl & Søn, Christiania, 1839, pp. 103–110. Original version in J. reine angew. Math.21 (1827), 386-394.

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

3. Aczél, J.,Remarks and problems. In:The Twenty-fifth International Symposium on Functional Equations. August 16–22, 1987, Hamburg-Rissen, Germany, Report of Meetings, Aequationes Math.35 (1988), 116–117.

4. Aczél, J.,The state of the second part of Hilbert's fifth problem. Bull. Amer. Math. Soc.20 (1989), 153–163.

5. Brillouët, N. andDhombres, J.,Equations fonctionnelles et recherche de sous-groupes. Aequationes Math.31 (1986), 253–293.

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