线性微分方程的整函数解及其导数的Julia集的公共极限方向（英文）  

COMMON LIMIT DIRECTIONS OF JULIA SETS OF ENTIRE SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS AND THEIR DERIVATIVES

作　　者：孙桂荣 杨琰琰 SUN Gui-rong;YANG Yan-yan(School of Mathematics and Physics,Suzhon University of Science and Technology,Suzhon 215009,China)

机构地区：[1]苏州科技大学数理学院,江苏苏州215009

出　　处：《数学杂志》2018年第3期417-426,共10页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11001057);Natural Science Foundation of Higher Education Institutions of Jiangsu province of China(16KJB110019);Natural Science Foundation of Suzhou University of Science and Technology(XKQ201405)

摘　　要：本文主要研究了线性微分方程解的Julia集的极限方向问题.利用值分布论的方法,在一定条件下,获得了这类方程非平凡解的Julia集的极限方向分布的下界,推广了相关结果.In this paper, we mainly investigate the limit directions of Julia sets of solutions of linear differential equations. By using Nevanlinna theory, we obtain the lower bound on the limit directions of Julia sets of non-trivial solutions to such equations in some additional conditions on coefficients, which improves some results of concerned literature.

关 键 词：极限方向 整函数 JULIA集 复微分方程 

分 类 号：O174.52[理学—数学]