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| Construction of convex solutions for the second type of Feigenbaum’s functional equations | |
| 基金项目： | supported by National Natural Science Foundation of China (Grant No. 10871117);;Natural Science Foundation of Shandong Province (Grant No. Y2006A07) |
| 摘 要： | In this paper, convex solutions for the second type of Feigenbaum’s equation f (x) = λ1 f (f (λx)), 0 < λ < 1, f (0) = 1, 0 f (x) 1, x ∈ 0, 1] are investigated. Using constructive methods, we discuss the existence and uniqueness of continuous convex solutions, C1-convex solutions and C2-convex solutions of the above equation. |
| 关 键 词： | the second type of Feigenbaum’s functional equations constructive method initial function convex solutions |
| 本文献已被 CNKI SpringerLink 等数据库收录！ | |