Bulletin of the
Korean Mathematical Society
BKMS

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

Article

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Bull. Korean Math. Soc. 2019; 56(2): 461-470

Online first article November 12, 2018      Printed March 1, 2019

https://doi.org/10.4134/BKMS.b180330

Copyright © The Korean Mathematical Society.

On the growth of solutions to linear complex differential equations on annuli

Nan Wu, Zuxing Xuan

China University of Mining and Technology (Beijing); Beijing Union University

Abstract

In this note, we consider the growth of solutions to second order and higher order linear complex differential equations on annuli instead of the complex plane. We establish several theorems that are analogues of the results in the complex plane.

Keywords: differential equations, meromorphic solutions, order, annuli

MSC numbers: Primary 30D10; Secondary 30D20, 30B10, 34M05

Supported by: The first author is supported by grants (No.11231009, 11371363, 11501563, 11571049) of NSFC of China and Yue Qi Young Scholar Program, China University of Mining and Technology, Beijing. The second author is supported in part by Supporting Plan for Cultivating High Level Teachers in Colleges and Universities in Beijing(IDHT20170511) and Premium Funding Project for Academic Human Resources Development in Beijing Union University(BPHR2018CZ09)