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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 9, Pages 541-546
doi:10.1155/S0161171201006597

On solutions of the Gołab-Schinzel equation

Anna Mureńko

Department of Mathematics, Pedagogical University, Rejtana 16 A, Rzeszów 35-310, Poland

Abstract

We determine the solutions f:(0,∞)→[0,∞) of the functional equation f(x+f(x)y)=f(x)f(y) that are continuous at a point a>0 such that f(a)>0. This is a partial solution of a problem raised by Brzdęk.