复微分方程解的导数的Julia集的径向分布

doi:10.6040/j.issn.1671-9352.0.2015.188

山东大学学报（理学版） ›› 2016, Vol. 51 ›› Issue (2): 85-88.doi: 10.6040/j.issn.1671-9352.0.2015.188

复微分方程解的导数的Julia集的径向分布

张国威

安阳师范学院数学与统计学院, 河南安阳 455000

收稿日期:2015-04-22 出版日期:2016-02-16 发布日期:2016-03-11
作者简介:张国威(1981— ), 男, 博士, 讲师, 研究方向为复分析. E-mail:herrzgw@foxmail.com
基金资助:
国家自然科学基金资助项目(11426035);河南省高等学校重点科研项目(15A110008)

Radial distribution of Julia sets of derivatives of solutions to complex differential equations

ZHANG Guo-wei

School of Mathematics and Statistics, Anyang Normal University, Anyang, 455000, Henan, China

Received:2015-04-22 Online:2016-02-16 Published:2016-03-11

摘要/Abstract

摘要： 进一步研究了一些复微分方程的整函数解的导数的Julia集的径向分布, 证明了它的径向分布的集合中含有区间并找到了区间长度的下界。

关键词: 导数, 径向分布, 复微分方程, Julia集

Abstract: The radial distributions of Julia sets of derivatives of entire solutions to some complex differential equations are studied. We obtain their radial distributions include intervals, of which lower bound also can be found.

Key words: derivative, complex differential equation, radial distribution, Julia set

中图分类号:

O174.52

张国威. 复微分方程解的导数的Julia集的径向分布[J]. 山东大学学报（理学版）, 2016, 51(2): 85-88.

ZHANG Guo-wei. Radial distribution of Julia sets of derivatives of solutions to complex differential equations[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(2): 85-88.

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复微分方程解的导数的Julia集的径向分布

Radial distribution of Julia sets of derivatives of solutions to complex differential equations

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