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

作　　者：孔荫莹 郭晓晶 孙道椿 

机构地区：[1]School of Mathematics and Statistics,Guangdong University of Finance and Economics [2]Sontan College,Guangzhou University [3]School of Mathematics Science,South China Normal University

出　　处：《Acta Mathematica Scientia》2016年第3期733-739,共7页数学物理学报（B辑英文版）

基　　金：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);the National Natural Science Foundation of China(11301140,11101096)

摘　　要：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 coeifficients. Several theorems on the existence of solutions are obtained, which perfect the solution theory of linear complex differential equations.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 coeifficients. Several theorems on the existence of solutions are obtained, which perfect the solution theory of linear complex differential equations.

关 键 词：complex differential equations entire algebraic function elements algebraic solutions 

分 类 号：O175[理学—数学]