ON THE FEIGENBAUM'S FUNCTIONAL EQUATION

Citation:

Liao Gongfu.ON THE FEIGENBAUM'S FUNCTIONAL EQUATION[J].Chinese Annals of Mathematics B,1994,15(1):81~88
Page view: 1324        Net amount: 783

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.

Keywords:

Functional equation, Continuous Single--Valley solution,Even unimodal $C^1$ solution.

Classification:

39B52
Download PDF Full-Text

主管单位:国家教育部 主办单位:复旦大学 地址:220 Handan Road, Fudan University, Shanghai, China E-mail:edcam@fudan.edu.cn

本系统由北京勤云科技发展有限公司提供技术支持