Dályay, Pál Péter2024-09-042024-09-042003-12-01Teaching Mathematics and Computer Science, Vol. 1 No. 2 (2003) , 191-2011589-7389https://hdl.handle.net/2437/379504The 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.application/pdfgeneral solution of a system of functional equationstransformation grouporbittransversalfolyóiratcikkOpen AccessPál Péter Dályayhttps://doi.org/10.5485/TMCS.2003.0019Teaching Mathematics and Computer Science21Teach. Math. Comp. Sci.2676-8364