| 高阶线性微分方程解与其某些导数的不动点 |
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| 引用本文： | 王君,李叶舟.高阶线性微分方程解与其某些导数的不动点[J].工程数学学报,2005,22(4):628-632. |
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| 作者姓名： | 王君 李叶舟 |
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| 作者单位： | 1. 复旦大学数学研究所,上海,200433
2. 北京邮电大学理学院,北京,100876 |
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| 摘 要： | 本文研究了以整函数为系数的高阶线性微分方程的解及其某些导数的不动点问题，指出它们的不动点与解的增长性密切相关，并给出不动点密度的精确估计。
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| 关 键 词： | 高阶线性微分方程 整函数 不动点 超级 |
| 文章编号： | 1005-3085(2005)04-0628-05 |
| 修稿时间： | 2003年3月18日 |
The Fixed Points of Solutions and Their Derivatives of the Higher Order Linear Differential Equation |
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| WANG Jun,LI Ye-zhou.The Fixed Points of Solutions and Their Derivatives of the Higher Order Linear Differential Equation[J].Chinese Journal of Engineering Mathematics,2005,22(4):628-632. |
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| Authors: | WANG Jun LI Ye-zhou |
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| Abstract: | We investigate the fixed point problems of solutions and their derivatives of higher order differential equations with entire function coefficients. Because of the control of differential equations, the precise properties of their fixed points are obtained. |
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| Keywords: | higher order linear differential equation entire function fixed point hyper-order |
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