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   

  1. 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   

  1. 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:

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:

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.

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

中图分类号: 

  • 30D35