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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| 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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| _version_ | 1849467918031519744 |
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| author | Anna Mureńko |
| author_facet | Anna Mureńko |
| author_sort | Anna Mureńko |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e0d9a2ae894e40cdbbd0ae7c0e27b65f |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-e0d9a2ae894e40cdbbd0ae7c0e27b65f2025-08-20T03:25:59ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0127954154610.1155/S0161171201006597On solutions of the Gołąb-Schinzel equationAnna Mureńko0Department of Mathematics, Pedagogical University, Rejtana 16 A, Rzeszów 35-310, PolandWe 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.http://dx.doi.org/10.1155/S0161171201006597 |
| spellingShingle | Anna Mureńko On solutions of the Gołąb-Schinzel equation International Journal of Mathematics and Mathematical Sciences |
| title | On solutions of the Gołąb-Schinzel equation |
| title_full | On solutions of the Gołąb-Schinzel equation |
| title_fullStr | On solutions of the Gołąb-Schinzel equation |
| title_full_unstemmed | On solutions of the Gołąb-Schinzel equation |
| title_short | On solutions of the Gołąb-Schinzel equation |
| title_sort | on solutions of the golab schinzel equation |
| url | http://dx.doi.org/10.1155/S0161171201006597 |
| work_keys_str_mv | AT annamurenko onsolutionsofthegołabschinzelequation |