| 高阶代数微分方程解的增长级(英文) |
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| 引用本文： | 李雄英.高阶代数微分方程解的增长级(英文)[J].数学杂志,2014,34(1):17-24. |
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| 作者姓名： | 李雄英 |
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| 作者单位： | 暨南大学经济学院 |
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| 基金项目： | Supported by NSF of China(10471065);the Natural Science Foundation of Guangdong Province(04010474) |
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| 摘 要： | 本文研究了高阶代数微分方程解的增长级的问题.利用亚纯函数的Nevanlinna值分布理论和微分方程的一些技巧,得到了一个更精确和更一般的结论,推广了何育赞和Laine的一些理论.
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| 关 键 词： | 增长级 代数体函数 代数微分方程 |
| 收稿时间： | 2011/7/18 0:00:00 |
| 修稿时间： | 2011/12/26 0:00:00 |
ON THE GROWTH OF SOLUTIONS OF HIGHER-ORDER ALGEBRAIC DIFFERENTIAL EQUATIONS |
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| LI Xiong-ying.ON THE GROWTH OF SOLUTIONS OF HIGHER-ORDER ALGEBRAIC DIFFERENTIAL EQUATIONS[J].Journal of Mathematics,2014,34(1):17-24. |
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| Authors: | LI Xiong-ying |
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| Institution: | LI Xiong-ying;College of Economics,Jinan University; |
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| Abstract: | This paper investigates the problem of the growth of solution of higher-order algebraic differential equations. Using the Nevanlinna value distribution theory of meromorphic functions and some skills of differential equations theory, we obtain a result which is more precise and more general, and extend the theories of He and Laine. |
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| Keywords: | the growth algebroid function algebraic differential equations |
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