| 一类亚纯系数高阶非齐次线性微分方程解与小函数的增长性 |
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| 引用本文： | 金瑾,樊艺,左建军,武玲玲.一类亚纯系数高阶非齐次线性微分方程解与小函数的增长性[J].上海大学学报(自然科学版),2014,20(6):733-740. |
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| 作者姓名： | 金瑾 樊艺 左建军 武玲玲 |
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| 作者单位： | 毕节学院理学院, 贵州 毕节 551700 |
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| 基金项目： | 贵州省科学技术基金资助项目(2012GZ10526); 贵州省毕节地区科研基金资助项目 |
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| 摘 要： | 利用亚纯函数的Nevanlinna值分布理论和微分方程方法, 研究了亚纯函数系数的高阶非齐次线性微分方程解与小函数的关系, 得到了一类高阶非齐次微分方程解取小函数时的精确估计.
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| 关 键 词： | 超级 级 线性微分方程 亚纯函数 |
| 收稿时间： | 2013-09-13 |
Growth of Solutions of a Class of Higher Order Non-homogeneous Linear Differential Equations with Meromorphic Coefficients |
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| JIN Jin,FAN Yi,ZUO Jian-Jun,WU Ling-Ling.Growth of Solutions of a Class of Higher Order Non-homogeneous Linear Differential Equations with Meromorphic Coefficients[J].Journal of Shanghai University(Natural Science),2014,20(6):733-740. |
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| Authors: | JIN Jin FAN Yi ZUO Jian-Jun WU Ling-Ling |
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| Institution: | Mathematics Department, Bijie University, Bijie 551700, Guizhou, China |
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| Abstract: | Using the Nevanlinna theory of value distribution of meromorphic functions,and the methods of differential equations, relationship is investigated between the higher order linear differential equations with meromorphic coefficients and functions with smaller growth, and precise estimation is obtained between meromorphic solutions of nonhomogeneous linear differential equations and functions with smaller growth. |
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| Keywords: | linear differential equations meromorphic function the order of growth hyper-order |
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