[1]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,(05):477-481.
　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 Science Edition,2012,(05):477-481.
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一类亚纯系数高阶线性微分方程解的增长性()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2012年05期
页码:
477-481
栏目:
出版日期:
2012-10-01

文章信息/Info

Title:
The Growth for Solutions of a Class of Higher Order Linear Differential Equations with Meromorphic Coefficient
作者:
杨碧珑;易才凤
江西师范大学数学与信息科学学院, 江西 南昌 330022
Author(s):
YANG Bi-long;  YI Cai-feng
关键词:
微分方程; 亚纯函数; 亏值; 级
Keywords:
differential equation;  meromorphic function;  deficient value;  order
分类号:
O174.52
文献标志码:
A
摘要:
运用Nevanlinna值分布的理论和方法,研究了微分方程f () k+A f ()1 k k??1++▓A f Af 1′+=0(2) k≥解的增长性,其中(1 A j≤≤j k A?1),为亚纯函数,假设 A 是以∞为亏值的超越亚纯函数,通过给定A (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.
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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更新日期/Last Update: 1900-01-01