On solutions of the Gołąb-Schinzel equation
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.
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201006597 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |