Acta mathematica scientia, Series B >
ON ALGEBRAIC SOLUTIONS OF THE SECOND-ORDER COMPLEX DIFFERENTIAL EQUATIONS WITH ENTIRE ALGEBRAIC ELEMENT COEFFICIENTS
Received date: 2015-04-02
Revised date: 2015-04-02
Online published: 2016-06-25
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).
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.
Yinying KONG , Xiaojing GUO , Daochun SUN . ON ALGEBRAIC SOLUTIONS OF THE SECOND-ORDER COMPLEX DIFFERENTIAL EQUATIONS WITH ENTIRE ALGEBRAIC ELEMENT COEFFICIENTS[J]. Acta mathematica scientia, Series B, 2016 , 36(3) : 733 -739 . DOI: 10.1016/S0252-9602(16)30035-2
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