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Currently displaying 1 – 5 of 5

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One-parameter system of functional equation. (Summary).

Stefania Paganoni-Marzegalli — 1993

Aequationes mathematicae

One-parameter system of functional equations.

Stefania Paganoni Marzegalli — 1994

Aequationes mathematicae

Sulla costruzione della soluzione generale di una classe di equazioni funzionali.

Stefania Paganoni Marzegalli — 1985

Stochastica

We consider a functional equation of the form G(x, phi(f₁(x)), ..., phi(f_r(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 f_i and Sup_i f_i.

Teoremi di unicità per l'equazione funzionale $f[F(x,y)]=H[f(x),f(y);x,y]$ negli spazi metrici

Stefania Paganoni Marzegalli — 1971

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

In this paper some conditions are given for the solution of uniqueness problem for the functional equation $f[F(x,y)]=H[f(x),f(y);x,y]$ when $x, y$ belong to a metric space $E$ . If $f_{1}$ and $f_{2}$ are identical on some $E$ -neighbourhood $U$ of a point $a\in E$ , they are shown to be identical on the entire domain $E$ . Further conditions are given for the solution of the uniqueness problem.

Cauchy's functional equation on semigroups

Luigi Paganoni; Stefania Paganoni Marzegalli — 1980

Fundamenta Mathematicae

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