| 一类复微分方程的亚纯允许解的值分布 |
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| 引用本文： | 刘瑞,高凌云.一类复微分方程的亚纯允许解的值分布[J].纯粹数学与应用数学,2012(1):25-28,35. |
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| 作者姓名： | 刘瑞 高凌云 |
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| 作者单位： | 暨南大学数学系 |
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| 基金项目： | 国家自然科学基金(10471065);广东省自然科学基金(04010474) |
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| 摘 要： | 利用亚纯函数的Nevanlinna值分布理论,研究了一类复高阶微分方程的亚纯允许解的存在性问题.证明了在适当条件的假设下,该类复微分方程的亚纯解不是允许解的结果,推广了以前一些文献的结论,并且文中有例子表明结果是精确的.
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| 关 键 词： | 值分布 高阶微分方程 亚纯允许解 |
The value distribution of meromorphic admissible solutions of higher-order differential equations |
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| Liu Rui,Gao Lingyun.The value distribution of meromorphic admissible solutions of higher-order differential equations[J].Pure and Applied Mathematics,2012(1):25-28,35. |
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| Authors: | Liu Rui Gao Lingyun |
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| Institution: | (Department of Mathematics,Ji nan University,Guangzhou 510632,China) |
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| Abstract: | Using Nevanlinna theory of the value distribution of meromorphic functions,the problem of the existence of solutions of complex higher-order differential equation is investigated.And under the assumption of certain proper condition,we prove a result which the meromorphic solutions of the differential equation must be non-admissible solutions and improve some results in previous references.At the end of this paper,the examples are given to show that the result is precise. |
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| Keywords: | value distribution higher-order differential equations admissible solutions |
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