[1]艾丽娟,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),2014,(03):250-253.
　AI Li-juan,YI Cai-feng.The Growth for Solutions of a Class of Higher Order Linear Differential Equations with Meromorphic Coefficients[J].Journal of Jiangxi Normal University:Natural Science Edition,2014,(03):250-253.
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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:
2014年03期
页码:
250-253
栏目:
出版日期:
2014-06-30

文章信息/Info

Title:
The Growth for Solutions of a Class of Higher Order Linear Differential Equations with Meromorphic Coefficients
作者:
艾丽娟;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):
AI Li-juan；YI Cai-feng
关键词:
微分方程; 亚纯函数; 亏值; 无穷级
Keywords:
differential equation; meromorphic function; deficient value; infinite 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）+Ak-1 f（k-1）+…+A1 f ′+A0 f=0（ k≥2）解的增长性，其中Aj（j=0，1，…，k-1）是亚纯函数，通过给定Aj 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 f(k)+…+A0f =0(k≥2)is investigated by using the fundamental theory of Nevanlinna value distribution,where Aj(0 ≤ j ≤ k - 1)are meromorphic functions. It is proved that every nontrivial solution f of the equation is of infinite order with giving some different condition on Aj (0≤j≤k -1).

参考文献/References:

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[6] 刘旭强,易才凤.关于2阶线性微分方程f ″+Af '+Bf=0解的增长性 [J].江西师范大学学报:自然科学版,2013,37(2):171-174.
[7] 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,2012,36(5):477-481.
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备注/Memo

备注/Memo:
国家自然科学基金(11171170)
更新日期/Last Update: 1900-01-01