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On Darboux solutions of the Euler's equation |
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| Authors: | J. Smítal |
| Affiliation: | (1) Department of Mathematics, Komensky University, !["Ccaron"]("/content/v8l128u8p14p3846/xlarge268.gif") SR-842-15 Bratislava, Czechoslovakia |
| Abstract: | Summary We construct a non-constant Darboux functionf: R  R which is a solution of the Euler's functional equationf(x + f(x)) = f(x) for everyx. This function is a counter-example to a statement given in the literature. |
| Keywords: | Primary 39B10 Secondary 26A30 |
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