| 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. |
| 关键词: 代数微分方程 亚纯解 增长级 |
| DOI： |
| 分类号:O174.5 |
| 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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| ESTIMATION OF GROWTH OF MEROMORPHIC SOLUTIONS OF SECOND ORDER ALGEBRAIC DIFFERENTIAL EQUATIONS |
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ZHANG Jian-jun1, YUAN Wen-jun2
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1.School of Mathematics and Information Technology, Jiangsu Second Normal University, Nanjing 210013, China;2.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). |
| Key words: algebraic differential equations meromorphic functions growth order |
