| 一类二阶迭代泛函微分方程的解析解 |
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| 引用本文： | 李文荣. 一类二阶迭代泛函微分方程的解析解[J]. 数学学报, 1998, 41(1): 167-176. DOI: cnki:ISSN:0583-1431.0.1998-01-021 |
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| 作者姓名： | 李文荣 |
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| 作者单位： | 滨州师范专科学校数学系 |
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| 摘 要： | 本文研究了一类二阶迭代泛函微分方程ｘ″（ｚ）＝ｍｊ＝０ｐｊｘｊ（ｚ），ｚ∈Ｃ．其中ｍ为正整数，ｘｊ（ｚ）表示未知函数ｘ（ｚ）的ｊ次迭代，给出了这类方程满足初始条件解析解的几个存在性定理．
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| 关 键 词： | 迭代，泛函微分方程，解析解 |
| 收稿时间： | 1997-03-17 |
Analytic Solutions for a Class Second Order Interative Functional Differential Equations |
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| Li Wenrong. Analytic Solutions for a Class Second Order Interative Functional Differential Equations[J]. Acta Mathematica Sinica, 1998, 41(1): 167-176. DOI: cnki:ISSN:0583-1431.0.1998-01-021 |
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| Authors: | Li Wenrong |
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| Affiliation: | Li Wenrong (Department of Mathematics, Binzhou Normal College, Binzhou 256604, China) |
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| Abstract: | In this paper, by the method of majorant to give some existence theorems of the analytic solutions of a class second order iterative functional differential equations x″(z)=mj=0 p j x j(z) (where z∈ C, m 2 is a positive integer, and x j(z) denotes the m-th iterate of the unknown function x(z)). |
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| Keywords: | Iteration Functional differential equation Analytic solution |
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