[1]肖丽鹏,李明星.单位圆内非齐次线性微分方程的振荡解[J].江西师范大学学报(自然科学版),2013,(02):166-170.
　XIAO Li-peng,LI Ming-xing.Oscillatory Solutions of Nonhomogeneous Linear Differential Equation in the Unit Disc[J].Journal of Jiangxi Normal University:Natural Science Edition,2013,(02):166-170.
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单位圆内非齐次线性微分方程的振荡解()
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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:
166-170
栏目:
出版日期:
2013-03-01

文章信息/Info

Title:
Oscillatory Solutions of Nonhomogeneous Linear Differential Equation in the Unit Disc
作者:
肖丽鹏;李明星
江西师范大学数学与信息科学学院,江西南昌,330022
Author(s):
XIAO Li-peng；LI Ming-xing
关键词:
单位圆; 线性微分方程; 亚纯函数; 零点收敛指数
Keywords:
unit disc; linear differential equations; meromorphic function; exponent of convergence of zero-sequence
分类号:
O174.52
文献标志码:
A
摘要:
研究了单位圆内高阶非齐次线性微分方程的振荡解,得到了方程f(k)+ak-1f(k-1)+…+a0f=F(a0,a1,…,ak-1,和F是单位圆内的亚纯函数)具有1个振荡解空间,其空间中所有解的零点收敛指数为∞,至多除去1个例外值.
Abstract:
The oscillatory solutions of higher-order nonhomogeneous linear differential equation in the unit disc are discussed.Results concerning the equation f+ak-1f+…+a0f=F(where a0,a1,…,ak-1and F are meromorphic functions in the unit disc),and possessing an oscillatory solution subspace in which all solutions(which at most one exception)have infinite exponent of convergence of zeros are obtained.

参考文献/References:

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备注/Memo

备注/Memo:
国家自然科学基金(11126144,11171119)；江西省教育厅青年科学基金(GJJ12207)
更新日期/Last Update: 1900-01-01