二阶代数微分方程亚纯解的增长性估计（英文）  

ESTIMATION OF GROWTH OF MEROMORPHIC SOLUTIONS OF SECOND ORDER ALGEBRAIC DIFFERENTIAL EQUATIONS

作　　者：张建军[1] 袁文俊[2] 

机构地区：[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

出　　处：《数学杂志》2017年第5期925-931,共7页Journal of Mathematics

基　　金：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

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.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 

分 类 号：O174.5[理学—数学]