| 单位圆内解析系数的高阶齐次线性微分方程解与小函数的关系 |
| |
| 引用本文： | 龚,攀,徐洪焱.单位圆内解析系数的高阶齐次线性微分方程解与小函数的关系[J].应用数学,2020,33(2):516-524. |
| |
| 作者姓名： | 龚 攀 徐洪焱 |
| |
| 作者单位： | 上饶师范学院数学与计算机科学学院, 江西 上饶 334001 |
| |
| 基金项目： | 国家自然科学基金(11561033);江西省自然科学基金(20181BAB201001);江西省教育厅科学技术研究项目(GJJ190895)。 |
| |
| 摘 要： | 本文对系数为单位圆内的解析函数的某类高阶齐次线性微分方程解的性质进行研究,得到解的增长级和超级的精确估计以及解与小函数之间的关系.
|
| 关 键 词： | 单位圆 超级 解析函数 微分方程 |
| 收稿时间： | 2019/5/22 0:00:00 |
The Relations Between Solutions of Higher Order Homogeneous Linear Differential Equations with Analytic Coefficients and Small Functions in the Unit Disc |
| |
| GONG Pan,XU Hongyan.The Relations Between Solutions of Higher Order Homogeneous Linear Differential Equations with Analytic Coefficients and Small Functions in the Unit Disc[J].Mathematica Applicata,2020,33(2):516-524. |
| |
| Authors: | GONG Pan XU Hongyan |
| |
| Institution: | (School of Mathematics and Computer Science,Shangrao Normal University,Shangrao 334001,China) |
| |
| Abstract: | In this paper,we investigate the solution of a class of higher order homogeneous linear differential equation,where coefficients are analytic functions in the unit disc.We obtain some precise estimates of growth and hyper order of solution,the relations between solutions and small function. |
| |
| Keywords: | Unit disc Hyper order Analytic function Differential equation |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《应用数学》浏览原始摘要信息 |
| 点击此处可从《应用数学》下载免费的PDF全文 |
