Solutions of higher order linear differential equations in an angle

被引：13

作者：

Xu, Junfeng ^{[1
]}

Yi, Hongxun ^{[2
]}

机构：

[1] Wuyi Univ, Dept Math & Phys, Jiangmen 529020, Peoples R China

[2] Shandong Univ, Sch Math, Jinan 250100, Jinan, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 04期

关键词：

Linear differential equation; Meromorphic function; The angle; Growth order; Analytic function;

D O I：

10.1016/j.aml.2008.06.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

in this paper, we discuss the higher order linear differential equation f((k)) +A(k-1)f((k-1))+...+ A(1)f(1) + A(0)f = 0 on an angle. We apply Nevanlinna sectorial theory to estimate the growth of solutions of the equation restricted in the angle and prove the existence of asymptotic value of the derivative of solutions of the equation in the angle. By using these results we can improve some known results in the plane. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：484 / 489

页数：6

共 50 条

[41] Properties of Complex Oscillation of Solutions of a Class of Higher Order Linear Differential Equations
Jianren LONG
Yezhou LI
Chinese Annals of Mathematics,Series B, 2020, (01) : 27 - 36
[42] The Separation of Zeros of Solutions of Higher Order Linear Differential Equations With Entire Coefficients
Alotaibi, Abdullah
Langley, J. K.
RESULTS IN MATHEMATICS, 2013, 63 (3-4) : 1365 - 1373
[43] GROWTH OF SOLUTIONS TO HIGHER ORDER LINEAR HOMOGENEOUS DIFFERENTIAL EQUATIONS IN ANGULAR DOMAINS
Wu, Nan
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2010,
[44] On the Growth of Solutions of a Class of Higher Order Linear Differential Equations with Extremal Coefficients
Long, Jianren
Qiu, Chunhui
Wu, Pengcheng
ABSTRACT AND APPLIED ANALYSIS, 2014,
[45] COMPLEX OSCILLATION OF ENTIRE SOLUTIONS OF HIGHER-ORDER LINEAR DIFFERENTIAL EQUATIONS
Cao, Ting-Bin
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2006,
[46] On Complex Oscillation Theory of Solutions of Some Higher Order Linear Differential Equations
Jianren LONG 1
2.Academy of Mathematics and Systems Science
数学研究及应用, 2012, 32 (04) : 423 - 430
[47] Hyperasymptotic solutions of higher order linear differential equations with a singularity of rank one
Olde Daalhuis, AB
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1998, 454 (1968): : 1 - 29
[48] Growth and fixed points of meromorphic solutions of higher order linear differential equations
Habib, Habib
Belaidi, Benharrat
ANNALES POLONICI MATHEMATICI, 2013, 107 (03) : 243 - 257
[49] The Separation of Zeros of Solutions of Higher Order Linear Differential Equations With Entire Coefficients
Abdullah Alotaibi
J. K. Langley
Results in Mathematics, 2013, 63 : 1365 - 1373
[50] On the growth of solutions of a class of higher order linear differential equations with coefficients having the same order
Tu, Jin
Yi, Cai-Feng
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 340 (01) : 487 - 497

← 1 2 3 4 5 →