| 二阶代数微分方程亚纯解的增长性估计 |
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| 引用本文： | 张建军,袁文俊.二阶代数微分方程亚纯解的增长性估计[J].数学杂志,2017,37(5):925-931. |
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| 作者姓名： | 张建军 袁文俊 |
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| 作者单位： | 江苏第二师范学院数学与信息技术学院, 江苏南京 210013,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 Natural Science Foundation of Jiangsu Province (BK20140767); Natural Science Foundation of the Jiangsu Higher Education Institutions (14KJB110004); Qing Lan Project of Jiangsu Province. |
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| 摘 要： | 本文研究了代数微分方程亚纯解的增长级.运用正规族理论，给出了某类二阶代数微分方程亚纯解的增长级的一个估计，该估计依赖于方程的有理函数系数.推广了2001年廖良文与杨重骏的一个结果.
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| 关 键 词： | 代数微分方程 亚纯解 增长级 |
| 收稿时间： | 2016/8/19 0:00:00 |
| 修稿时间： | 2016/8/31 0:00:00 |
ESTIMATION OF GROWTH OF MEROMORPHIC SOLUTIONS OF SECOND ORDER ALGEBRAIC DIFFERENTIAL EQUATIONS |
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| ZHANG Jian-jun and YUAN Wen-jun.ESTIMATION OF GROWTH OF MEROMORPHIC SOLUTIONS OF SECOND ORDER ALGEBRAIC DIFFERENTIAL EQUATIONS[J].Journal of Mathematics,2017,37(5):925-931. |
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| Authors: | ZHANG Jian-jun and YUAN Wen-jun |
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| Institution: | School of Mathematics and Information Technology, Jiangsu Second Normal University, Nanjing 210013, China and School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China |
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| Abstract: | In this paper, we investigate the growth order of meromorphic solution of algebraic differential equations. By using normal family theory, we give an estimation of the growth order of meromorphic solutions of certain class of second order algebraic differential equations, which depend on the degrees of rational function coefficients of the equations, and generalize a result by Liao Liangwen and Yang Chungchun (2001). |
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| Keywords: | algebraic differential equations meromorphic functions growth order |
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