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二阶代数微分方程亚纯解的增长性估计

张建军 袁文俊

数学杂志2017,Vol.37Issue(5):925-931,7.
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

张建军 1袁文俊2

作者信息

  • 1. 江苏第二师范学院数学与信息技术学院,江苏南京 210013
  • 2. 广州大学数学与信息科学学院,广东广州 510006
  • 折叠

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. ()

数学杂志

OACSTPCD

0255-7797

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