Liao Gongfu.ON THE FEIGENBAUM'S FUNCTIONAL EQUATION[J].Chinese Annals of Mathematics B,1994,15(1):81~88
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Authors:
Liao Gongfu;
Foundation:
Project supported by the National Natural Science Foundation of China
Abstract:
The author considers the Feigenbaum's functional equation
$f^P(\l x)=\l f(x)$ for each $p\ge 2$. The existence of even
unimodal $C^1$ solutions to this equation is discussed and a feasible
method to construct such solutions is given.