数学杂志2017,Vol.37Issue(5):925-931,7.
二阶代数微分方程亚纯解的增长性估计
ESTIMATION OF GROWTH OF MEROMORPHIC SOLUTIONS OF SECOND ORDER ALGEBRAIC DIFFERENTIAL EQUATIONS
摘要
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).关键词
代数微分方程/亚纯解/增长级Key words
algebraic differential equations/meromorphic functions/growth order分类
数理科学引用本文复制引用
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):925-931,7.基金项目
Supported by Natural Science Foundation of Jiangsu Province (BK20140767) (BK20140767)
Natural Science Foundation of the Jiangsu Higher Education Institutions (14KJB110004) (14KJB110004)
Qing Lan Pro ject of Jiangsu Province. ()