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| 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. |
| 关键词: 极限方向 整函数 Julia集 复微分方程 |
| DOI： |
| 分类号:O174.52 |
| 基金项目: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). |
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| COMMON LIMIT DIRECTIONS OF JULIA SETS OF ENTIRE SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS AND THEIR DERIVATIVES |
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SUN Gui-rong,YANG Yan-yan
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| Abstract: |
| 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. |
| Key words: limit direction entire function Julia set complex differential equation |
