| 关于代数微分方程 |
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| 引用本文： | 庄圻泰.关于代数微分方程[J].北京大学学报(自然科学版),1996,32(3):276-292. |
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| 作者姓名： | 庄圻泰 |
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| 作者单位： | 北京大学数学系，北京，100871 |
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| 摘 要： | 研究了一般形式的代数微分方程的全纯解的增长性，并证明了几个有关定理。证明是根据一个关于Wiman-Valiron理论的定理。
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| 关 键 词： | 代数微分方程 Wiman-Valiron理论 |
| 收稿时间： | 1995-05-26 |
On Algebraic Differential Equations |
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| CHUANG Chitai.On Algebraic Differential Equations[J].Acta Scientiarum Naturalium Universitatis Pekinensis,1996,32(3):276-292. |
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| Authors: | CHUANG Chitai |
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| Institution: | Department of Mathematics, Peking University, Beijing, 100871 |
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| Abstract: | The main purpose of this paper is to prove some theorems on the growth of holomorphic solutions of algebraic differential equations of general form. For this we base upon a theorem on the derivatives of a holomorphic function in a ring-shaped domain. It completes, in some respects, a theorem proved by the author in a previous work on the theory of Wiman-Valiron. |
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| Keywords: | algebraic differential equations theory of Wiman-Valiron |
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