| C~∞-solutions for the Second Type of Generalized Feigenbaum's Functional Equations |
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| 作者姓名： | Min ZHANG |
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| 作者单位： | College of Science, China University of Petroleum, Qingdao 266555, P. R. China |
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| 基金项目： | Supported by National Natural Science Foundation of China,Tian Yuan Foundation(Grant No.11326129);the Fundamental Research Funds for the Central Universities(Grant No.14CX02152A) |
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| 摘 要： | This work focuses on the second type of generalized Feigenbaum's equation(f(x)) = f(f((x))),f(0) = 1, 0 ≤ f(x) ≤ 1, x ∈ 0, 1],where (x) is C∞-increasing function on 0, 1] and satisfies that (0) = 0, 0 (x) 1(x ∈ 0, 1]).Using constructive method, we discuss the existence of C∞-single-valley solutions whose derivatives are not equal to 0 on origin of the above equation.
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| 关 键 词： | 函数方程 广义 鲍 递增函数 衍生物 溶液 原点 |
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