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| 系数为迭代级整函数的高阶线性微分方程的复振荡 | |
| 引用本文： | 熊辉,刘慧芳. 系数为迭代级整函数的高阶线性微分方程的复振荡[J]. 江西师范大学学报(自然科学版), 2015, 0(2): 211-214 |
| 作者姓名： | 熊辉 刘慧芳 |
| 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(11201195);江西省自然科学基金(20122BAB201012)资助项目 |
| 摘 要： | 研究具有迭代级整函数系数的高阶线性微分方程解的增长性和零点问题.当存在某一系数起主导作用时,得到方程解的迭代级和迭代零点收敛指数的估计,推广了已有的结论. |
| 关 键 词： | 微分方程 整函数 迭代级 迭代零点收敛指数 |
The Complex Oscillation of Higher Order Linear Differential Equations with Coefficients of Finite Iterated Order |
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| XIONG Hui , LIU Huifang. The Complex Oscillation of Higher Order Linear Differential Equations with Coefficients of Finite Iterated Order[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2015, 0(2): 211-214 | |
| Authors: | XIONG Hui LIU Huifang |
| Affiliation: | XIONG Hui;LIU Huifang;College of Mathematics and Informatics,Jiangxi Normal University; |
| Abstract: | The growth and zeros of solutions of higher order linear differential equations with entire coefficients of finite iterated order are studied.Some estimations on the iterated order and the iterated convergence exponent of zero sequence are obtained,when there exists one dominant coefficients.The obtained results are extensions of some previous results. |
| Keywords: | differential equation entire function iterated order iterated convergence exponent of zero sequence |
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