[1]龙见仁,伍鹏程.单位圆上高阶线性微分方程解的性质[J].江西师范大学学报(自然科学版),2012,(02):147-150.
 LONG Jian-ren,WU Peng-cheng.On the Properities of Solutions for Higher Order Linear Differenrial Equations in the Unit Disc[J].,2012,(02):147-150.
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单位圆上高阶线性微分方程解的性质()
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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02期
页码:
147-150
栏目:
出版日期:
2012-03-01

文章信息/Info

Title:
On the Properities of Solutions for Higher Order Linear Differenrial Equations in the Unit Disc
作者:
龙见仁;伍鹏程
贵州师范大学数学与计算机科学学院,贵州贵阳,550001
Author(s):
LONG Jian-ren;WU Peng-cheng
关键词:
线性微分方程单位圆函数空间
Keywords:
linear differential equation unit disc function space
分类号:
O174.5
文献标志码:
A
摘要:
结合微分方程理论和函数空间理论,研究了单位圆内高阶线性微分方程解的性质,得到当方程系数满足某些条件时,其解属于某类函数空间的充分条件.
Abstract:
The properties of solutions of higher order linear differential equations in the unit disc was investigated by using the skills and methods of differential equations and function spaces. And some sufficient conditions that the solutions of higher order linear differential equations belong to some classes function spaces was obtained.

参考文献/References:

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[3] 何育赞, 萧治经. 单位圆内微分方程(f ?)2=a0(z)(f?a1(z))f的解[J]. 中国学术期刊文摘(科技快报), 1999, 5(2): 164-166.
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[5] 李叶舟. 单位圆盘上二阶微分方程解的增长性 [J]. 纯粹数学与应用数学, 2002(4): 295-300.
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[7] Heittokangas Janne, Korhonen Risto, R?ttr? Jouni. Linear dif-
[8] ferential equations with coefficients in weighted Bergman and Hardy spaces [J]. Trans Amer Math Soc, 2008, 360(2): 1035- 1055.
[9] Heittokangas Janne, Korhonen Risto, R?ttr? Jouni. Growth estimates for solutions of linear complex differential equations [J]. Ann Acad Sci Fenn Math, 2004, 29: 233-246.
[10] 王锦熙, 易才凤, 徐洪焱. 关于单位圆内高阶线性微分方程的复振荡 [J]. 江西师范大学学报: 自然科学版, 2009, 33(2): 194- 200.
[11] Tsuji M. Potential theory in modern function theory [M]. Tokyo: Maruzen Co Ltd, 1959: 221-236.
[12] Duren P. Theory of Hp spaces [M]. New York, London: Academic Press, 1970.

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备注/Memo

备注/Memo:
国家自然科学基金(11171080);贵州省科学技术基金(黔科合J字LKS
[2010]07号)
更新日期/Last Update: 1900-01-01