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| 几类高阶微分方程解的复振荡 | |
| 引用本文： | 涂金,陈宗煊,郑秀敏.几类高阶微分方程解的复振荡[J].数学杂志,2007,27(1):77-82. |
| 作者姓名： | 涂金 陈宗煊 郑秀敏 |
| 作者单位： | 1. 北京师范大学数学科学学院,北京,100875 2. 华南师范大学数学系,广东广州,510631 3. 江西师范大学数学与信息科学学院,江西南昌,330027 |
| 基金项目： | 国家自然科学基金;广东省自然科学基金 |
| 摘 要： | 本文研究了几类高阶线性微分方程解的增长性,零点,以及构成基础解的一组线形无关解的乘积的增长性.得到了5个定理,推广了陈宗煊,S.Bank和J.Langley给出的结果. |
| 关 键 词： | 高阶微分方程 整函数 增长级 |
| 文章编号： | 0255-7797（2007）01-0077-06 |
| 修稿时间： | 2004-09-292005-04-08 |
ON COMPLEX OSCILLATION OF SOME CLASSES OF HIGHER ORDER DIFFERENTIAL EQUATIONS |
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| TU Jin,CHEN Zong-xuan,ZHENG Xiu-min.ON COMPLEX OSCILLATION OF SOME CLASSES OF HIGHER ORDER DIFFERENTIAL EQUATIONS[J].Journal of Mathematics,2007,27(1):77-82. | |
| Authors: | TU Jin CHEN Zong-xuan ZHENG Xiu-min |
| Institution: | 1. School of Math. Science, Beijing Normal University, Beijing 100875, China;2. Dept. of Math. , South China Normal University, GuangZhou 510631, China;3. Institute of Math. and Information Science, Jiangxi Normal University, Nanchang 330027, China |
| Abstract: | In this paper, we investigate the growth and the zeros of solutions of some classes of higher order differential equations. We also investigate the growth of the product of a solution base of the equations and obtain five theorems which are improvements of related results given by Chen Z.X.,S.Bank and J.Langley. |
| Keywords: | higher order differential equation entire funtion order of growth |
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