Sûto's method applied to a problem of Färe and Mitchell
type: Item
instance of: scholarly article
title: Sûto's method applied to a problem of Färe and Mitchell
zbMATH Open document ID: 0755.39004
DOI: 10.1007/BF01835695
author: Anders Lundberg
published in: Aequationes Mathematicae
publication date: 1993-01-16T00:00:00Z
full work available at URL: https://eudml.org/doc/137456
review text: The author offers the general twice differentiable solution of the functional equation \[ \phi(x+\psi(y-x))=f(x)+g(y)+h(x)k(y) \] on a region in \(\mathbb{R}^ 2\). A seven row table is filled with solutions, even though they are just representatives of equivalence classes and the solutions in cases which have been known before are omitted. The problem takes its origin in mathematical economics.
reviewed by: János Aczél
Mathematics Subject Classification ID: 39B22
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 92514
zbMATH Keywords: Sûto's method
zbMATH Keywords: continuity
zbMATH Keywords: strict monotonicity
zbMATH Keywords: differentiable solution
zbMATH Keywords: functional equation
zbMATH Keywords: mathematical economics
MaRDI profile type: Publication
cites work: Q5514010
cites work: On the functional equation \(f(\lambda (x)+g(y))=\mu (x)+h(x+y)\)
OpenAlex ID: W4235178118
description: scientific article; zbMATH DE number 92514