第二类Feigenbaum函数方程的一些推广

J4 ›› 2010, Vol. 45 ›› Issue (6): 56-59.

张敏1,王连池2

ZHANG Min1, WANG Lian-chi2

1. School of Mathematics, Shandong University, Jinan 250100, Shandong, China;
2. School of Mathematics and Computational Science, China University of Petroleum,Dongying 257061, Shandong, China

摘要：

研究了第二类Feigenbaum函数方程的推广形式：
f(φ(x))=φ(φ(f(x))),
φ(0)=1, 0≤φ(x)≤1, x∈［0,1］,
其中f(x)为［0,1］上的单调递增连续函数,且满足f(0)=0,f(x)

关键词: 推广后的第二类Feigenbaum函数方程; 构造性方法; 单峰偶连续解;单谷连续解

Key words: generalization for the second type of Feigenbaum′s functional equation; constructive methods; single-peak even continuous solution; single-valley continuous solution

张敏1,王连池2. 第二类Feigenbaum函数方程的一些推广[J]. J4, 2010, 45(6): 56-59.

ZHANG Min1, WANG Lian-chi2. The generalization for the second type of Feigenbaum’s functional equations[J]. J4, 2010, 45(6): 56-59.

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