On continuous solutions of an equation of the Golab-Schinzel type

Authors

  • Eliza Jablonska Rzeszow University of Technology, Powstancow Warszawy 12, 35-959 Rzeszow

Keywords:

generalized Golab-Schinzel equation

Abstract

We characterize solutions $f,g:\mathbb{R}\to\mathbb{R}$ of the functional equation $f(x+g(x)y)=f(x)f(y)$ under assumption that $f$ is continuous. Our considerations refer mainly to the paper [10], where J.Chudziak studied the same equation assuming that $g$ is continuous. DOI: 10.1017/S0004972712000299

Published

2012-12-17

Issue

Vol. 87 No. 1 (2013)

Section

Articles
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