Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2018; 55(2): 545-559

Online first article March 13, 2018      Printed March 30, 2018

https://doi.org/10.4134/BKMS.b170129

Copyright © The Korean Mathematical Society.

On radial oscillation of entire solutions to nonhomogeneous algebraic differential equations

Guowei Zhang

Anyang Normal University

Abstract

In this paper we mainly investigate the properties of the solutions to a type of nonhomogeneous algebraic differential equation in an angular domain. It includes the Borel directions of the solutions, the width of angular domains in which the solutions take its order and the measure of radial distributions of Julia sets of the solutions.

Keywords: nonhomogeneous differential equation, angular domain, Borel direction, order, radial distribution, Julia set

MSC numbers: Primary 30D05, 37F10, 37F50