| 几类高阶线性微分方程亚纯解的迭代级 |
| |
| 引用本文： | 何静,郑秀敏.几类高阶线性微分方程亚纯解的迭代级[J].江西师范大学学报(自然科学版),2012,0(6):584-588. |
| |
| 作者姓名： | 何静 郑秀敏 |
| |
| 作者单位： | 江西师范大学数学与信息科学学院, 江西 南昌, 330022 |
| |
| 基金项目： | 国家自然科学基金(11126145);江西省自然科学基金(20114BAB211003);江西省教育厅青年科学基金(GJJ11072)资助项目 |
| |
| 摘 要： | 研究了几类具有迭代级亚纯函数系数的高阶线性微分方程亚纯解的增长性和零点分布问题,当系数a0或ad对其它系数起支配作用时,得到了方程满足一定条件的亚纯解的迭代级的一些结果,所得结果推广了前人已有结果.
|
| 关 键 词： | 线性微分方程 亚纯解 迭代级 迭代零点收敛指数 |
The Iterated Order of Meromorphic Solutions of Some Classes of Higher Order Linear Differential Equations |
| |
| HE Jing,ZHENG Xiu-min.The Iterated Order of Meromorphic Solutions of Some Classes of Higher Order Linear Differential Equations[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2012,0(6):584-588. |
| |
| Authors: | HE Jing ZHENG Xiu-min |
| |
| Institution: | (College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China) |
| |
| Abstract: | The growth and the distribution of zeros of meromorphic solutions of some classes of higher order lin-ear differential equations with meromorphic coefficients of iterated orders are investigated. Some results on the it-erated order of the solutions, which satisfy some conditions are obtained, when the coefficient a0 or ad dominates the other coefficients. Our results are extensions on previous results. |
| |
| Keywords: | linear differential equation meromorphic solution iterated order iterated convergence exponent of zero sequence |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《江西师范大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《江西师范大学学报(自然科学版)》下载免费的PDF全文 |
