| 一类迭代泛函微分方程的解析解 |
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| 引用本文： | 刘凌霞. 一类迭代泛函微分方程的解析解[J]. 山东大学学报(理学版), 2008, 43(10): 41-45 |
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| 作者姓名： | 刘凌霞 |
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| 作者单位： | 潍坊学院数学系,山东,潍坊,261061 |
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| 摘 要： | 在复数域中讨论一阶迭代泛函微分方程的解析解。对Schro¨der变换中的常数α,除讨论0<|α|<1的情形,还讨论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 泛函微分方程 解析解 优级数 Brjuno条件 |
Analytic solutions of an iterative functional differential equation |
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| LIU Ling-xia. Analytic solutions of an iterative functional differential equation[J]. Journal of Shandong University, 2008, 43(10): 41-45 |
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| Authors: | LIU Ling-xia |
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| Affiliation: | Weifang University, Weifang 261061, Shandong, China |
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| Abstract: | Analytic solutions of an iterative functional differential equation were discussed in a complex field. For constant α given in the Schr〖AKo¨D〗der transformation, besides the case of 0<|α|<1, α is the resonance point, i.e. a root of the unity and those α near resonance point under the Brjuno condition. |
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| Keywords: | iterative functional differential equation analytic solution majorant series Brjuno condition |
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