复高阶代数微分方程的两类解

journal6 ›› 2001, Vol. 22 ›› Issue (1): 13-16.

复高阶代数微分方程的两类解

(暨南大学数学系, 广东广州 510632)

出版日期:2001-03-15 发布日期:2013-01-05
作者简介:高凌云( 1963- ) ,男, 湖北蕲春人,山东大学博士后,暨南大学数学系副教授, 主要从事值分布理论及复微分方程研究.
基金资助:
国家自然科学基金资助项目( 19871050)

Two Types of Solutions of Complex Order-higher Algebraic Differential Equations

( Dept. of Math. , Jinan University, Guangzhou, 510632, China)

Online:2001-03-15 Published:2013-01-05

摘要/Abstract

摘要：利用亚纯函数的 Nevanlinna值分布理论,讨论了一类高阶代数微分方程的超越亚纯解和代数体解的存在性问题,得到了2个进一步的结果.

关键词： 超越亚纯函数, 代数体函数, 允许解

Abstract: Using Nevanlinna theory of the value distribution of meromorphic functions,we investigate the problem of the existence of transcendental meromorphic solutions and algebraical solutions of some higher- order algebraic differential equations and obtain two further results.

Key words: transcendental meromorphic functions, algebraical functions, admis sible solution

高凌云. 复高阶代数微分方程的两类解[J]. journal6, 2001, 22(1): 13-16.

GAO Ling-Yun. Two Types of Solutions of Complex Order-higher Algebraic Differential Equations[J]. journal6, 2001, 22(1): 13-16.