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Teaching Mathematics and Computer Science

Vol. 1 No. 2 (2003)
Articles

A KöMaL problem in a new view

Published:
2003-12-01
DOI Linkhttps://doi.org/10.5485/TMCS.2003.0019
Author
Pál Péter Dályay
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Keywords
general solution of a system of functional equations transformation group orbit transversal
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Copyright (c) 2003 Pál Péter Dályay

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How To Cite
Selected Style: APA
Dályay, P. P. (2003). A KöMaL problem in a new view. Teaching Mathematics and Computer Science, 1(2), 191-201. https://doi.org/10.5485/TMCS.2003.0019
Abstract
The object of this paper is finding the general solution f : R^3 → R of the system of functional equations (1) valid for all x, y, z, t ϵ R. First f is expressed by a function of one variable which satisfies a system of two functional equations.This system is resolved by using an algebraic reformulation of the problem in terms of orbits and transversals. Finally the general solution of (1) is obtained.