The growth, oscillation and fixed points of solutions of complex linear differential equations in the unit disc

被引：34

作者：

Cao, Ting-Bin ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 352卷 / 02期

关键词：

Differential equation; Meromorphic function; Order of the growth; Convergence exponent of zero points; Unit disc; FINITE-ORDER SOLUTIONS; MEROMORPHIC SOLUTIONS; COEFFICIENTS;

D O I：

10.1016/j.jmaa.2008.11.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the complex differential equations of the form A(k)(z)f((k)) + A(k-1) (Z)f((k-1)) + ... + A(1) (z)f' + A(0)(z)f = F (z). where A0 ( 6 0), A(0) (not equivalent to 0). A(1,....)A(k) and F are analytic functions in the unit disc D = {z is an element of C: vertical bar z vertical bar < 1}. Some results Oil the finite iterated order and the finite iterated convergence exponent of zero points in D of meromorphic (analytic) Solutions are obtained. The fixed points Of Solutions of differential e(equations are also investigated in this paper. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：739 / 748

页数：10

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