| 一类高阶整函数系数线性微分方程解的超级 |
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| 引用本文： | 肖丽鹏,陈宗煊. 一类高阶整函数系数线性微分方程解的超级[J]. 数学杂志, 2007, 27(1): 47-52 |
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| 作者姓名： | 肖丽鹏 陈宗煊 |
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| 作者单位： | 华南师范大学数学系,广东广州,510631 |
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| 摘 要： | 本文利用值分布理论,对高阶整函数系数线性微分方程(其中存在两个系数的级相等且最大)的解的复振荡性质进行了研究,得到了方程解的超级的精确估计.
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| 关 键 词： | 微分方程 增长级 整函数 超级 |
| 文章编号： | 0255-7797（2007）01-0047-06 |
| 修稿时间： | 2004-07-052005-01-24 |
ON THE HYPER-ORDER OF SOLUTIONS OF CERTAIN HIGHER-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENTS |
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| XIAO Li-peng,CHEN Zong-xuan. ON THE HYPER-ORDER OF SOLUTIONS OF CERTAIN HIGHER-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENTS[J]. Journal of Mathematics, 2007, 27(1): 47-52 |
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| Authors: | XIAO Li-peng CHEN Zong-xuan |
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| Affiliation: | Dept. of Math. , South China Normal University, Guangzhou 510631, China |
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| Abstract: | In this paper, we study the complex oscillation properties of the solutions of higher-order linear differential equations with entire coefficients (where there are two coefficients being of the same and highest order) by using the value distribution theory. We obtain some precise estimates of the hyper-order of solutions of the equations. |
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| Keywords: | linear differential equation order entire function hyper-order |
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