中文摘要：

本文研究了线性微分方程f（n）＋An-1f（n-1）＋···＋A1f＋A0f=0亚纯解的动力学性质,其中n≥2,Ai（z）（i=0,1,···,n-1）是具有有限下级的亚纯函数.利用亚纯函数的Nevanlinna值分布理论,获得了一定条件下方程亚纯解的Julia集的径向分布的下界,推广了相关文献的结果.

英文摘要：

This paper is devoted to studying the dynamical properties of solutions of f（n）＋ An-1f（n-1）＋ · · · ＋ A0（z）f = 0,where n（≥ 2） is an integer,and Ai（z）（i = 0,1,· · ·,n-1） are meromorphic functions of finite lower order.By using Nevanlinna theory of the value distribution of meromorphic functions,we obtain the lower bound on the radial distribution of Julia sets of solutions of such equations in some additional conditions,which improves some results of concerned literature.