Acta mathematica scientia,Series B ›› 2013, Vol. 33 ›› Issue (2): 423-429.doi: 10.1016/S0252-9602(13)60009-0

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ON GLOBAL MEROMORPHIC SOLUTIONS OF SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC#br# COEFFICIENTS

 KONG Yin-Ying, SUN Dao-Chun*   

  1. School of Mathematics and Computational Science, Guangdong University of Business Studies, Guangzhou 510320, China;LMBA, Universit´e de Bretagne-Sud, Campus de Tohanic 56017, Vannes, France; School of Mathematics Science of South China Normal University, Guangzhou 510631, China
  • Received:2011-12-06 Online:2013-03-20 Published:2013-03-20
  • Contact: SUN Dao-Chun,sundch@scnu.edu.cn; 1457330943@qq.com E-mail:kongcoco@hotmail.com;sundch@scnu.edu.cn; 1457330943@qq.com
  • Supported by:

    The Project Supported by the National Natural Science Foundation of China (11101096 ) and Guangdong Natural Science Foundation (S2012010010376, S201204006711).

Abstract:

The main purpose of this article is to study the existence theories of global meromorphic solutions for some second-order linear differential equations with meromorphic coefficients, which perfect the solution theory of such equations.

Key words: Second-order linear differential equations, global meromorphic solutions, mero-morphic continuation

CLC Number: 

  • 34M05
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