| 一类亚纯系数高阶线性微分方程解的增长性 |
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| 引用本文： | 杨碧珑,易才凤*.一类亚纯系数高阶线性微分方程解的增长性[J].江西师范大学学报(自然科学版),2012,0(5):477-481. |
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| 作者姓名： | 杨碧珑 易才凤* |
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| 作者单位： | 江西师范大学数学与信息科学学院, 江西 南昌 330022 |
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| 基金项目： | 国家自然科学基金(11171170)资助项目 |
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| 摘 要： | 运用Nevanlinna值分布的理论和方法,研究了微分方程f(k)1Ak-1f(k-1)+…+A1f'+Af=0(k≥2)解的增长性,其中Aj(1≤j≤K-1),A为亚纯函数,假设A是以∞为亏值的超越亚纯函数,通过给定Aj(1≤j≤k-1)的不同条件,证明了齐次线性微分方程的任一非零解均为无穷级.
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| 关 键 词： | 微分方程 亚纯函数 亏值 级 |
The Growth for Solutions of a Class of Higher Order Linear Differential Equations with Meromorphic Coefficient |
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| YANG Bi-long,YI Cai-feng.The Growth for Solutions of a Class of Higher Order Linear Differential Equations with Meromorphic Coefficient[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2012,0(5):477-481. |
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| Authors: | YANG Bi-long YI Cai-feng |
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| Institution: | (College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China) |
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| Abstract: | The growth of solutions of the differential equation is investigated by using the fundamental theory and method of Nevanlinna, where and ?/ 0 are meromorphic functions. Assuming that is transcendental and has a deficient value , it is proved that every solution ?/ 0 of the equation is of infinite order with giving some different condition on . |
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| Keywords: | differential equation meromorphic function deficient value order |
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