EXISTENCE OF MEROMORPHIC SOLUTIONS OF SOME HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS

doi:10.1016/S0252-9602(13)60023-5

数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (2): 600-608.doi: 10.1016/S0252-9602(13)60023-5

• 论文 • 上一篇

EXISTENCE OF MEROMORPHIC SOLUTIONS OF SOME HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS

张晓梅|孙道椿

Basic Teaching Department, Guangzhou Civil Aviation College, Guangzhou 510403, China； School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

收稿日期:2010-06-18 修回日期:2011-01-10 出版日期:2013-03-20 发布日期:2013-03-20
基金资助:
This research is supported by the National Natural Science Foundation of China (11101096).

EXISTENCE OF MEROMORPHIC SOLUTIONS OF SOME HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS

ZHANG Xiao-Mei, SUN Dao-Chun

Basic Teaching Department, Guangzhou Civil Aviation College, Guangzhou 510403, China； School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

Received:2010-06-18 Revised:2011-01-10 Online:2013-03-20 Published:2013-03-20
Supported by:
This research is supported by the National Natural Science Foundation of China (11101096).

摘要/Abstract

摘要：

This article discusses the problems on the existence of meromorphic solutions of some higher order linear differential equations with meromorphic coefficients. Some nice results are obtained. And these results perfect the complex oscillation theory of meromorphic
solutions of linear differential equations.

关键词: Higher order linear differential equation, meromorphic coefficient, meromorphic solutions, the first coefficient

Abstract:

Key words: Higher order linear differential equation, meromorphic coefficient, meromorphic solutions, the first coefficient

中图分类号:

30D35

张晓梅, 孙道椿. EXISTENCE OF MEROMORPHIC SOLUTIONS OF SOME HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS[J]. 数学物理学报(英文版), 2013, 33(2): 600-608.

ZHANG Xiao-Mei, SUN Dao-Chun. EXISTENCE OF MEROMORPHIC SOLUTIONS OF SOME HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS[J]. Acta mathematica scientia,Series B, 2013, 33(2): 600-608.

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EXISTENCE OF MEROMORPHIC SOLUTIONS OF SOME HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS

EXISTENCE OF MEROMORPHIC SOLUTIONS OF SOME HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS

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