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

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...

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Published inActa mathematica scientia Vol. 36; no. 3; pp. 733 - 739
Main Author 孔荫莹 郭晓晶 孙道椿
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.05.2016
School of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou 510320, China%Sontan College, Guangzhou University, Guangzhou 511370, China%School of Mathematics Science, South China Normal University, Guangzhou 510631, China
Subjects
30D35
Algebra
algebraic solutions
complex differential equations
Differential equations
entire algebraic function elements
Existence theorems
Functions (mathematics)
Mathematical analysis
Theorems
二阶
代数函数
代数解
元素
复微分方程
定理
解的存在性
complex differential equations
algebraic solutions
30D35
entire algebraic function elements
Online AccessGet full text
ISSN0252-9602
1572-9087
DOI10.1016/S0252-9602(16)30035-2

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Summary: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.
Bibliography: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.
Yinying KONG,Xuai jing GUO,Daochun SUN（1 School of Mathematics and Statistics, Guangdong University of Finance and Economics, Guangzhou 510320, China;2Sontan College, Guangzhou University, Guangzhou 511370, China;3School of Mathematics Science, South China Non＇real University, Guangzhou 510631, China）
42-1227/O
complex differential equations; entire algebraic function elements; algebraic solutions
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(16)30035-2