On solutions of the Gołąb-Schinzel equation

Anna Mureńko

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 27, 1-6

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.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:534673

DOI: 10.1155/S0161171201006597

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