| 关于一类常微分方程亚纯解的存在性 |
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| 引用本文： | 袁文俊.关于一类常微分方程亚纯解的存在性[J].数学学报,1996,39(5):619-624. |
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| 作者姓名： | 袁文俊 |
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| 作者单位： | 新疆师范大学数学系 |
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| 摘 要： | 本文运用Ｎｅｖａｎｌｉｎｎａ值分布理论，解决了具一项控制系数Ｐｎ或Ｐｏ的微分方程亚纯解的存在性与可能的个数问题．同时举例说明所给结果是精确的．本文完善了Ｇ．Ｇｕｎｄｅｒｓｅｎ和Ｉ．Ｌａｉｎｅ等人的工作．
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| 关 键 词： | 微分方程，P＿r控制条件 |
| 收稿时间： | 1995-4-27 |
On the Existence of Meromorphic Solutions of One Class of Ordinary Differential Equations |
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| Yuan Wenjun.On the Existence of Meromorphic Solutions of One Class of Ordinary Differential Equations[J].Acta Mathematica Sinica,1996,39(5):619-624. |
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| Authors: | Yuan Wenjun |
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| Institution: | Yuan Wenjun ( Institute of Mathematics, Academia Sinica, Beijing 100080,China) |
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| Abstract: | In this paper,we apply the value distribution theory of Nevanlinna to solve the tence and possible number of meromorphic solutions of the differential equations with a domainative coefficient Pn or P0. At the same time,we give some examples to show that our results are sharp. |
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| Keywords: | Defferential equation P_r-domination condition holds |
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