On some generalization of the Gołąb-Schinzel equation
type: Item
instance of: scholarly article
zbMATH Open document ID: 1300.39004
author: Agata Nowak
publication date: 2013-11-11T00:00:00Z
Mathematics Subject Classification ID: 39B22
Mathematics Subject Classification ID: 39B12
zbMATH DE Number: 6225532
zbMATH Keywords: composite equation
zbMATH Keywords: Gołąb-Schinzel equation
zbMATH Keywords: iterative equation
zbMATH Keywords: continuous solution
MaRDI profile type: Publication
title: On some generalization of the Gołąb-Schinzel equation
published in: Annales Mathematicae Silesianae
review text: The functional equation \(f\left(p(x,y)(xf(y)+y)+(1-p(x,y))(yf(x)+x)\right)=f(x,y)\), \(x,y\in\mathbb{R}\), is solved completely under the assumption that \(f:\mathbb{R}\to \mathbb{R}\) and \(p:\mathbb{R}^2\to\mathbb{R}\) are continuous functions.
reviewed by: Jens Schwaiger
description: scientific article; zbMATH DE number 6225532