|
- 2018
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
|
Abstract:
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