| 单位圆内二阶线性微分方程的解与小函数的关系 |
| |
| 引用本文： | 甘会林,向子贵.单位圆内二阶线性微分方程的解与小函数的关系[J].数学的实践与认识,2010,40(8). |
| |
| 作者姓名： | 甘会林 向子贵 |
| |
| 作者单位： | 广东商学院数学与计算科学学院,广东广州,510320 |
| |
| 基金项目： | 国家自然科学基金(10471048); 高等学校博士学科点专项科研基金(20050574002) |
| |
| 摘 要： | 讨论了系数是单位圆内解析函数的二阶齐次和非齐次线性微分方程的解及其一阶导数和二阶导数与小函数之间的关系,并得到了它们之间的精确估计.
|
| 关 键 词： | 线性微分方程 小函数 收敛指数 |
The Relation Between Solutions of Second Order Linear Differential Equations and Small Functions in the Unit Disc |
| |
| GAN Hui-lin,XIANG Zi-gui.The Relation Between Solutions of Second Order Linear Differential Equations and Small Functions in the Unit Disc[J].Mathematics in Practice and Theory,2010,40(8). |
| |
| Authors: | GAN Hui-lin XIANG Zi-gui |
| |
| Institution: | GAN Hui-lin,XIANG Zi-gui (School of Mathematics , Computational Science,Guangdong Business College,Guangzhou 510320,China) |
| |
| Abstract: | This paper investigates the relation between solutions of second order homogeneous and non-homogeneous linear differential equations whose coefficients are analytic functions in the unit disc and their small functions,and obtain the precise estimate. |
| |
| Keywords: | linear differential equation small functions convergence exponent |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
