One-parameter system of functional equation. (Summary).
One-parameter system of functional equations.
Sulla costruzione della soluzione generale di una classe di equazioni funzionali.
We consider a functional equation of the form G(x, phi(f1(x)), ..., phi(fr(x))) = c in the unknown function phi. We present a method to construct the general solution of this equation under suitable hypotheses on the functions Inf i fi and Supi fi.
Teoremi di unicità per l'equazione funzionale negli spazi metrici
In this paper some conditions are given for the solution of uniqueness problem for the functional equation when belong to a metric space . If and are identical on some -neighbourhood of a point , they are shown to be identical on the entire domain . Further conditions are given for the solution of the uniqueness problem.
Cauchy's functional equation on semigroups
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