| 二阶线性微分方程亚纯解的增长性 |
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| 引用本文： | 龙见仁,伍鹏程.二阶线性微分方程亚纯解的增长性[J].山东大学学报(理学版),2012,47(8):31-33. |
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| 作者姓名： | 龙见仁 伍鹏程 |
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| 作者单位： | 贵州师范大学数学与计算机科学学院, 贵州 贵阳 550001 |
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| 基金项目： | 国家自然科学基金资助项目(11171080);贵州省科学技术基金资助项目(黔科合J字LKS[2010]07号) |
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| 摘 要： | 利用亚纯函数值分布理论,研究两类二阶线性微分方程解的增长性,得到当方程系数满足某些条件时,其任意非平凡解为无穷级。
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| 关 键 词： | 线性微分方程 增长级 亚纯函数 |
| 收稿时间： | 2011-09-05 |
On the growth of meromorphic solutions of second order linear differential equations |
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| LONG Jian-ren,WU Peng-cheng.On the growth of meromorphic solutions of second order linear differential equations[J].Journal of Shandong University,2012,47(8):31-33. |
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| Authors: | LONG Jian-ren WU Peng-cheng |
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| Institution: | School of Mathematical and Computer Science, Guizhou Normal University, Guiyang 550001, Guizhou, China |
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| Abstract: | The growth of meromorphic solutions of two classes of second order linear differential equations is investigated by using the theory of the value distributions of meromorphic functions.Some sufficient conditions that all non-trivial solutions are of infinite order are obtained. |
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| Keywords: | linear differential equation growth of order meromorphic functions |
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