LIMITING DIRECTIONS OF JULIA SETS OF ENTIRE SOLUTIONS TO COMPLEX DIFFERENTIAL EQUATIONS

In this paper,we mainly investigate the dynamical properties of entire solutions of complex differential equations.With some conditions on coefficients,we prove that the set of common limiting directions of Julia sets of solutions,their derivatives and their primitives must have a definite range of...

Full description

Saved in:
Bibliographic Details
Published in:Acta mathematica scientia 2017, Vol.37 (1), p.97-107
Main Author: 王珺 陈宗煊
Format: Article
Language:English
Subjects:
30D35
34M10
37F10
deficiency
entire function
Julia set
limiting direction
linear differential equation
动力学性质
复微分方程
整体解
极限
衍生物
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper,we mainly investigate the dynamical properties of entire solutions of complex differential equations.With some conditions on coefficients,we prove that the set of common limiting directions of Julia sets of solutions,their derivatives and their primitives must have a definite range of measure.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(16)30118-7