On the complex oscillation of meromorphic solutions of second order linear differential equations in the unit disc

被引：6

作者：

Cao, Ting-Bin ^{[1
]}

Zhu, Chuan-Xi ^{[1
]}

Liu, Kai ^{[1
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 374卷 / 01期

关键词：

Meromorphic function; Complex oscillation; Differential equation; Iterated order; Unit disc; GROWTH; COEFFICIENTS;

D O I：

10.1016/j.jmaa.2010.08.071

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to investigate the oscillation theory of meromorphic solutions of the second order linear differential equation f '' + A(z)f = 0 for the case where A is meromorphic in the unit disc D = {z: vertical bar z vertical bar < 1}. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：272 / 281

页数：10

共 20 条

[1]

BANK SB, 1972, COMPOS MATH, V25, P61

[2] ON THE OSCILLATION-THEORY OF F'' + AF=0 WHERE A IS ENTIRE [J].

BANK, SB ;

LAINE, I .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 273 (01) :351-363

[3] ON THE ZEROS OF MEROMORPHIC SOLUTIONS OF 2ND-ORDER LINEAR-DIFFERENTIAL EQUATIONS [J].

BANK, SB ;

LAINE, I .

COMMENTARII MATHEMATICI HELVETICI, 1983, 58 (04) :656-677

[4] The growth of solutions of linear differential equations with coefficients of iterated order in the unit disc [J].

Cao, TB ;

Yi, HX .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 319 (01) :278-294

[5] On the complex oscillation theory of f" plus A (z)f=0 where A(z) is analytic in the unit disc [J].

Cao, Ting-Bin ;

Yi, Hong-Xun .

MATHEMATISCHE NACHRICHTEN, 2009, 282 (06) :820-831

[6] The growth, oscillation and fixed points of solutions of complex linear differential equations in the unit disc [J].

Cao, Ting-Bin .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 352 (02) :739-748

[7] Estimates on the growth of meromorphic solutions of linear differential equations [J].

Chiang, YM ;

Hayman, WK .

COMMENTARII MATHEMATICI HELVETICI, 2004, 79 (03) :451-470

[8]

Chuaqui M, 2008, ANN ACAD SCI FENN-M, V33, P561

[9]

Hayman W. K., 1964, Meromorphic functions

[10]

Heittokangas J., 2000, ANN ACAD SCI FENN-M, V122, P1

← 1 2 →