| 复非线性代数微分方程解的增长级(英文) |
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| 引用本文： | 高凌云,张于,李海绸.复非线性代数微分方程解的增长级(英文)[J].数学杂志,2011,31(5):785-790. |
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| 作者姓名： | 高凌云 张于 李海绸 |
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| 作者单位： | 暨南大学数学系,广东广州,510632 |
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| 基金项目： | Supported by the Natural Science Foundation of China(10471065); the Natural Science Foundation of Guangdong Province(04010474) |
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| 摘 要： | 本文研究了一类非线性微分方程的解的增长级的问题.利用亚纯函数的Nevanlinna值分布理论和Wiman-Valiron整函数理论的方法,获得了比以往文献更为精确,更为一般的结论,推广了Gol’dberg,Barsegian,Hayman以及Korhonen等作者的一些结果.
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| 关 键 词： | 增长级 代数微分方程 亚纯函数 |
GROWTH OF SOLUTIONS OF COMPLEX NON-LINEAR ALGEBRAIC DIFFERENTIAL EQUATIONS |
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| GAO Ling-yun,ZHANG Yu,LI Hai-chou.GROWTH OF SOLUTIONS OF COMPLEX NON-LINEAR ALGEBRAIC DIFFERENTIAL EQUATIONS[J].Journal of Mathematics,2011,31(5):785-790. |
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| Authors: | GAO Ling-yun ZHANG Yu LI Hai-chou |
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| Institution: | GAO Ling-yun,ZHANG Yu,LI Hai-chou (Department of Mathematics,Jinan University,Guangzhou 510632,China) |
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| Abstract: | In this paper,we study the problem of growth order of solutions of a type of non-linear general differential equations.By using Nevanlinna theory of the value distribution of meromorphic functions and Wiman-Valiron,s entire function theory,we obtain a result which is more precise and more general than the previous ones,and extends some results of the growth order of solutions of algebraic differential equations on Gol,dberg,Barsegian,Hayman and Korhonen,etc. |
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| Keywords: | growth order algebraic differential equations meromorphic function |
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