| 迭代函数方程的解析不变曲线的存在性 |
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| 引用本文： | 刘凌霞.迭代函数方程的解析不变曲线的存在性[J].潍坊学院学报,2010,10(4):69-74. |
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| 作者姓名： | 刘凌霞 |
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| 作者单位： | 潍坊学院,山东,潍坊,261061 |
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| 摘 要： | 在复数域中讨论二阶迭代函数方程的解析解。对Schrder变换中的常数α,主要讨论α是共振点,即α是单位根的情形以及α在共振点附近且满足Brjuno条件的情形。
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| 关 键 词： | 迭代 函数方程 解析解 优级数 Brjuno条件 |
Existence of Analytic Invariant Curves for Iterative Functional Equations |
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| LIU Ling-xia.Existence of Analytic Invariant Curves for Iterative Functional Equations[J].Journal of Weifang University,2010,10(4):69-74. |
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| Authors: | LIU Ling-xia |
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| Institution: | LIU Ling-xia (Weifang University,Weifang 261061,China) |
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| Abstract: | Analytic solutions of an second-order iterative functional equation are discussed in a complex field.For the constant α given in the transformation,we discuss those α is at resonance,i.e.at a root of the unity and those α near resonance under the Brjuno condition. |
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| Keywords: | iterative functional differential equation analytic solution majorant series Brjuno condition |
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