ESTIMATES FOR THE HYPER-ORDER OF SOLUTIONS OF CERTAIN LINEAR DIFFERENTIAL EQUATIONS

doi:10.1016/S0252-9602(08)60041-7

数学物理学报(英文版)

ESTIMATES FOR THE HYPER-ORDER OF SOLUTIONS OF CERTAIN LINEAR DIFFERENTIAL EQUATIONS

江良英; 陈宗煊

中国科学院武汉物理与数学研究所, 武汉 430071 中国科学院研究生院, 北京 100039

收稿日期:2006-08-23 修回日期:2007-02-28 出版日期:2008-04-20 发布日期:2008-04-20
通讯作者: 江良英
基金资助:
This work is supported by the National Natural Science Foundation of China (10161006, 10571044) and the Natural Science Foundation of Guangdong Prov (06025059)

ESTIMATES FOR THE HYPER-ORDER OF SOLUTIONS OF CERTAIN LINEAR DIFFERENTIAL EQUATIONS

Jiang Liangying; Chen Zongxuan

Wuhan Institute of Physics and Mathematics, the Chinese Academy of Sciences, Wuhan 430071, China
Graduate School of the Chinese Academy of Sciences, Beijing 100039, China

Received:2006-08-23 Revised:2007-02-28 Online:2008-04-20 Published:2008-04-20
Contact: Jiang Liangying

摘要/Abstract

摘要：

In this article, the authors study the growth of certain second order
linear differential equation f''+A(z)f'+B(z)f=0 and give precise estimates for the hyper-order of solutions of infinite order. Under similar conditions, higher order differential equations will be considered.

关键词: Linear differential equation, entire function, hyper-order, genus

Abstract:

Key words: Linear differential equation, entire function, hyper-order, genus

中图分类号:

30D35

江良英; 陈宗煊. ESTIMATES FOR THE HYPER-ORDER OF SOLUTIONS OF CERTAIN LINEAR DIFFERENTIAL EQUATIONS[J]. 数学物理学报(英文版), 2008, 28(2): 393-400.

Jiang Liangying; Chen Zongxuan. ESTIMATES FOR THE HYPER-ORDER OF SOLUTIONS OF CERTAIN LINEAR DIFFERENTIAL EQUATIONS[J]. Acta mathematica scientia,Series B, 2008, 28(2): 393-400.

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ESTIMATES FOR THE HYPER-ORDER OF SOLUTIONS OF CERTAIN LINEAR DIFFERENTIAL EQUATIONS

ESTIMATES FOR THE HYPER-ORDER OF SOLUTIONS OF CERTAIN LINEAR DIFFERENTIAL EQUATIONS

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