[1]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,(02):171-174.
 LIU Xu-qiang,YI Cai-feng.On the Growth of Solutions of the Second Order Linear Differential Equation f"+Af'+Bf =0[J].,2013,(02):171-174.
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关于2阶线性微分方程f″+Af'+Bf=0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:
2013年02期
页码:
171-174
栏目:
出版日期:
2013-03-01

文章信息/Info

Title:
On the Growth of Solutions of the Second Order Linear Differential Equation f"+Af'+Bf =0
作者:
刘旭强;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):
LIU Xu-qiang;YI Cai-feng
关键词:
微分方程亚纯函数亏值无穷级
Keywords:
differential equationsmeromorphic functiondeficient valueinfinite 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2阶亚纯系数线性微分方程f"+Af'+Bf=0解的增长性,在假设A或B具有有限或无穷亏值的不同条件下,证明了方程的每一非零解的增长级均为无穷.
Abstract:
By using the fundamental theory and method of value distribution of Nevanlinna,the growth of solutions of the second order linear differential equations f ″+Af '+Bf=0 is considered where A(z) and B(z) are meromorphic function.Assuming A(z) or B(z) have a finite or infinite deficient value,it was proved that every solution f0 of the complex differential equation has infinite order.

参考文献/References:

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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