| 一类高阶代数微分方程代数体解的值分布 |
| |
| 引用本文： | 刘瑞,高凌云.一类高阶代数微分方程代数体解的值分布[J].暨南大学学报,2012,33(3):227-229,249. |
| |
| 作者姓名： | 刘瑞 高凌云 |
| |
| 作者单位： | 刘瑞 (暨南大学数学系,广东广州,510632) ； 高凌云 (暨南大学数学系,广东广州,510632) ； |
| |
| 基金项目： | 国家自然科学基金,广东省自然科学基金 |
| |
| 摘 要： | 利用亚纯函数或代数体函数的Nevanlinna值分布理论,研究了一类高阶代数微分方程的代数体解的值分布问题.证明了一类复高阶代数微分方程在存在代数体允许解并满足一适当条件的情况下,该方程的亏量问题.
|
| 关 键 词： | 代数微分方程 值分布 可允许解 |
The value distribution of algebroid solutions of a type higher-order algebraic differential equations |
| |
| LIU Rui,GAO Ling-yun.The value distribution of algebroid solutions of a type higher-order algebraic differential equations[J].Journal of Jinan University(Natural Science & Medicine Edition),2012,33(3):227-229,249. |
| |
| Authors: | LIU Rui GAO Ling-yun |
| |
| Institution: | 2(Department of Mathematics Jinan University,Guangzhou 510632,China) |
| |
| Abstract: | Using Nevanlinna theory of the value distribution of meromorphic functions or algebroid functions,the problem of the value distribution of algebroid solutions of some algebraic differential equations is investigated.The deficient values of a type higher-order algebraic differential equations are obtained on condition that the equations exist admissible algebroid solutions and meet some proper conditions. |
| |
| Keywords: | higher-order algebraic differential equations algebroid functions admissible solutions |
| 本文献已被 CNKI 等数据库收录！ |
|
