| The Real Solutions of Functional Equation $f^{[m]}=1/f$ |
| Received:March 31, 2006 Revised:October 12, 2006 |
| Key Words:
iterate iterative equation $k$-circuit Babbage equation piecewise continuous.
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| Fund Project:the Youth Foundation of the Educational Department of Sichuan Province (No.072B042). |
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| Abstract: |
| The authors study the functional equation $f^{[m]}=1/f$ and analyze the features of its piecewise continuous solutions. All the piecewise continuous real solutions are obtained constructively. The results generalize the ones in [2]. Moreover, the conclusion is drawn that there is no circuit iterative roots for those functions not satisfying Babbage equation. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2008.02.011 |
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