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《Journal of Jinan University(Natural Science & Medicine Edition)》 2009-01
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Algebroidal solutions of third-order algebraic differential equations

HE Zhong-wei1,GAO Ling-yun2(1.Jiangxi BlueSky University,Nanchang 330029,China;2.Department of Mathematics,Jinan University,Guangzhou 510632,China)  
The existence of algebraic solution of third-order algebraic differential equation is discussed.Using the value distribution theory of algebroid function,A sufficient condition is given.
【Fund】: 广东省自然科学基金项目(04010474)
【CateGory Index】: O174.52
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【Citations】
Chinese Journal Full-text Database 3 Hits
1 Gao Lingyun (Department of Mathematics, Jinan University, Guangzhou 510632);SOME RESULTS ON ADMISSIBLE ALGEBROID SOLUTIONS OF COMPLEX DIFFERENTIAL EQUATIONS[J];Journal of Systems Science and Mathematical Sciences;2001-02
2 Chen Tewei(Department of Mathematics, South China Normal University);One Class of Ordinary Differential Equations Which Possess Algebroid Solutions in Complex Domain[J];Chinese Quarterly Journal of Mathematics;1991-04
3 GAO Ling-yun ( Dept. of Math., Jinan University, Guangzhou 510632, China );Algebroidal Solutions of Second-Order Algebraic Differential Equations[J];Journal of Mathematical Research and Exposition;2005-02
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 RUAN Ning(Deptartment of Mathematics, Fujian Normal University., Fuzhou 350007, China);ON THE GROWTH OF ALGEBROID FUNCTION[J];Journal of Anhui Normal University(Natural Science);2002-04
2 XUAN Zu-xing~1,QIN Shu-lan~2(1.Basic Courses Department of Beijing Union University,Beijing 100101,China;2.Department of Science,Qingdao Binhai University,Qingdao Shandong 266555,China);On Uniqueness of Entire Algebroid Functions[J];Journal of Beijing Union University(Natural Sciences);2009-01
3 JIN Jin1,HE Peng-fei2(1.Mathematics Department of Bijie University,Bijie,Guizhou551700 China;2.Mathematics Department of Guizhou University for Nationalities,Guiyang,Guizhou550025,China);The Fix Point and Hyper of Solutions of Higher Order Linear Differential Equations with Meromorphic Function Coefficents[J];Journal of Bijie University;2009-04
4 Xu Jianxin(Jiangxi Radio and TV University,Nanchang 330046);On the Complex Oscillation of Non-homogeneous LinearDifferntial Equations with Meromorphic Coefficients[J];Journal of Jiangxi Normal University (Natural Sciences Edition);1994-04
5 Chen Zongxuan(Dept. of Math. Jiangxi Normal University.Nanchang 330027);On the Properties of Solution of Linear Differential Equationwith Transcendental Entire Coefficients[J];Journal of Jiangxi Normal University (Natural Sciences Edition);1995-03
6 CHEN Zong xuan (Department of Mathematics,Jiangxi Normal University,Nanchang 330027,China);The Properties of Solutions of Homogeneous Linear Differential Equations with Coefficients of Small Growth[J];JOURNAL OF JIANGXI NORMAL UNIVERSITY (NATURAL SCIENCES EDITION);1999-04
7 YI Cai feng 1, WANG Jin lian 2 (1.Department of Mathematics,Jiangxi Normal University,Nanchang 330027,China;2.Journal of Jiangxi Normal University,Nanchang 330027,China);An Oscillation Result of a Fourth Order Linear Differential Equation with Entire Periodic Coefficients[J];JOURNAL OF JIANGXI NORMAL UNIVERSITY (NATURAL SCIENCES EDITION);1999-04
8 YI Cai-feng (Institute of Mathematics and Informatics,Jiangxi Normal University,Na nchang 330027,China);An Oscillation Result of a Fourth Order Linear Differential Equation[J];JOURNAL OF JIANGXI NORMAL UNIVERSITY (NATURAL SCIENCES EDITION);2000-02
9 CHEN Zong xuan (Institute of Mathematics and Informatics,Jiangxi Normal University,Nanchang,330027,China);The Growth Rate of Solution for a Class of Higher Order Linear Differential Equations[J];JOURNAL OF JIANGXI NORMAL UNIVERSITY (NATURAL SCIENCES EDITION);2000-03
10 GAO Ling yun (Department of Mathematics,Jinan University,Guangzhou 510632,China);Algebraic Differential Equations which Possess Admissible Algebroid Solutions[J];Journal of Jiangxi Normal University (Natural Sciences Edition);2001-01
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 Gao Lingyun (Department of Mathematics, Jinan University, Guangzhou 510632);SOME RESULTS ON ADMISSIBLE ALGEBROID SOLUTIONS OF COMPLEX DIFFERENTIAL EQUATIONS[J];Journal of Systems Science and Mathematical Sciences;2001-02
2 Chen Tewei(Department of Mathematics, South China Normal University);One Class of Ordinary Differential Equations Which Possess Algebroid Solutions in Complex Domain[J];Chinese Quarterly Journal of Mathematics;1991-04
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