| 关于某类Briot-Bouquet微分方程若干结果的推广 |
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| 引用本文： | 张建军,柏玲玲,袁文俊.关于某类Briot-Bouquet微分方程若干结果的推广[J].数学杂志,2010,30(4). |
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| 作者姓名： | 张建军 柏玲玲 袁文俊 |
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| 作者单位： | 1. 南京大学数学系,江苏,南京,210093
2. 广州大学数学与信息科学学院,广东,广州,510006 |
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| 基金项目： | Supported by the NSF of China(10771220;10871089) |
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| 摘 要： | 本文研究了某类形式的Briot-Bouquet微分方程的亚纯解结构问题.利用Nevanlinna值分布理论的有关知识,获得了该类微分方程的所有可能形式,以及当方程的阶为偶数时,给出了每一个形式的方程的亚纯解结构,推广了某些特定的Briot-Bouquet微分方程亚纯解结构的一些结果.
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| 关 键 词： | 多项式 Briot-Bouquet微分方程 亚纯解 |
SOME EXTENDED RESULTS RELATED TO SOME CLASS OF BRIOT-BOUQUET DIFFERENTIAL EQUATIONS |
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| ZHANG Jian-jun,BAI Ling-ling,YUAN Wen-jun.SOME EXTENDED RESULTS RELATED TO SOME CLASS OF BRIOT-BOUQUET DIFFERENTIAL EQUATIONS[J].Journal of Mathematics,2010,30(4). |
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| Authors: | ZHANG Jian-jun BAI Ling-ling YUAN Wen-jun |
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| Institution: | ZHANG Jian-jun~1,BAI Ling-ling~2,YUAN Wen-jun~2 (1.Department of Mathematics,Nanjing University,Nanjing 210093,China) (2.School of Math.and Infor.Science,Guangzhou University,Guangzhou 510006,China) |
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| Abstract: | In this article, we study the problem of meromorphic solutions about some class of Briot-Bouquet differential equations. By the knowledge of Nevanlinna value-distribution theory, we obtain all the possible forms of this differential equations and give the meromorphic solutions of each form when the order of equations is even. Some results on meromorphic solutions of special Briot-Bouquet differential equations are extended. |
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| Keywords: | Polynomial Briot-Bouquet differential equations Meromorphic solutions |
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