Feigenbaum函数方程的单峰偶解

ON THE EVEN SOLUTION OF SINGLE KURTOSIS OF THE FEIGENBAUM FUNCTION EQUATIONS

Ｆｅｉｇｅｎｂａｕｍ函数方程解的存在及其性态的研究是动力系统普适性理论中的一个重要课题．本文对Ｆｅｉｇｅｎｂａｕｍ函数方程的单峰连续偶解进行了详尽的讨论，并给出连续解可成为Ｃｋ解的一个十分广泛的条件，还指出了文［６］的一个关键性错误．

n this paper, we deal with the even continuous solution of single kurtosis of Feigenbaum function equations,and obtain a very broad condition which involve that the continuous solution must be the CK --solution. In the meantime 'we point out a grave error of paper [6].