| 高阶线性微分方程解的角域增长性 |
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| 引用本文： | 徐俊峰,仪洪勋.高阶线性微分方程解的角域增长性[J].系统科学与数学,2008,28(6):702-708. |
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| 作者姓名： | 徐俊峰 仪洪勋 |
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| 作者单位： | 1. 五邑大学数理系,江门,529020
2. 山东大学数学与系统科学学院,济南,250100 |
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| 基金项目： | 国家自然科学基金
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教育部高等学校博士学科点专项科研基金 |
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| 摘 要： | 假设A0,A1,…,Ak-1在某个角域内解析,讨论高阶线性微分方程,f(k) Ak-1f (k-1) … A1f' A0f=0在特定角域内解的增长性和渐近性,改进了一些结果.
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| 关 键 词： | 微分方程 增长性 角域 高阶线性微分方程 微分方程解 角域 增长性 ANGLE LINEAR DIFFERENTIAL EQUATIONS HIGHER ORDER SOLUTIONS 结果 改进 渐近性 域内解 假设 |
| 收稿时间： | 2006-2-9 |
Growth of the Solutions of Higher Order Linear Differential Equations in an Angle |
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| XU Junfeng,YI Hongxun.Growth of the Solutions of Higher Order Linear Differential Equations in an Angle[J].Journal of Systems Science and Mathematical Sciences,2008,28(6):702-708. |
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| Authors: | XU Junfeng YI Hongxun |
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| Institution: | (1)Department of Mathematics and Physics, Wuyi University, Jiangmen 529020; (2)School of Mathematics and System Sciences, Shandong University, Jinan 250100 |
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| Abstract: | The higher order linear differential equation $f^{(k)}+A_{k-1}f^{(k-1)}+\cdots+A_{1}f'+A_{0}f=0$ is considered, where $A_0, A_1, \cdots, A_{k-1}$ are analytic in an angle, and the growth and symptotic character of solutions of the equation restricted in the angle are obtained. Some existing results are improved. |
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| Keywords: | Differential equation growth angular domain |
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