Acta mathematica scientia,Series B ›› 2016, Vol. 36 ›› Issue (3): 733-739.doi: 10.1016/S0252-9602(16)30035-2

• Articles • Previous Articles     Next Articles

ON ALGEBRAIC SOLUTIONS OF THE SECOND-ORDER COMPLEX DIFFERENTIAL EQUATIONS WITH ENTIRE ALGEBRAIC ELEMENT COEFFICIENTS

Yinying KONG1, Xiaojing GUO2, Daochun SUN3   

  1. 1. School of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou 510320, China;
    2. Sontan College, Guangzhou University, Guangzhou 511370, China;
    3. School of Mathematics Science, South China Normal University, Guangzhou 510631, China
  • Received:2015-04-02 Revised:2015-04-02 Online:2016-06-25 Published:2016-06-25
  • Contact: Daochun SUN,E-mail:sundch@scnu.edu.cn E-mail:sundch@scnu.edu.cn
  • Supported by:

    The Project Supported by Guangdong Natural Science Foundation (2015A030313628, S2012010010376), Training plan for Distinguished Young Teachers in Higher Education of Guangdong (Yqgdufe1405), Guangdong Education Science Planning Project (2014GXJK091, GDJG20142304) and the National Natural Science Foundation of China (11301140, 11101096).

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Abstract:

The main purpose of this paper is to study the problems on the existence of algebraic solutions for some second-order complex differential equations with entire algebraic function element coefficients. Several theorems on the existence of solutions are obtained, which perfect the solution theory of linear complex differential equations.

Key words: complex differential equations, entire algebraic function elements, algebraic solutions

CLC Number: 

  • 30D35
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