ON ZEROS OF SOLUTIONS OF HIGHER ORDER HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS

被引：0

作者：

蓝双婷 ^{[1
]}

陈宗煊 ^{[1
]}

机构：

[1] School of Mathematical Sciences,South China Normal University

来源：

Acta Mathematica Scientia | 2013年 / 33卷 / 02期

关键词：

Differential equation; exponent of convergence of zeros; type;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this article, we investigate the exponent of convergence of zeros of solutions for some higher-order homogeneous linear differential equation, and prove that if Ak-1 is the dominant coefficient, then every transcendental solution f(z) of equation f(k)+Ak-1f(k-1)+ ··· + A0f=0 satisfies λ(f)=∞, where λ(f) denotes the exponent of convergence of zeros of the meromorphic function f(z).

引用

页码：556 / 564

页数：9

共 50 条

[1] ON ZEROS OF SOLUTIONS OF HIGHER ORDER HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS
Lan, Shuangting
Chen, Zongxuan
[J]. ACTA MATHEMATICA SCIENTIA, 2013, 33 (02) : 556 - 564
[2] ZEROS OF SOLUTIONS OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS
王珺
孙宗煊
[J]. Annals of Applied Mathematics, 2001, (01) : 71 - 81
[3] Zeros of solutions of certain higher order linear differential equations
Xu, Hong-Yan
Yi, Cai-Feng
[J]. ANNALES POLONICI MATHEMATICI, 2010, 97 (02) : 123 - 136
[4] On the zeros of solutions of homogeneous linear differential equations
Reynolds, Clarence N., Jr.
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1921, 22 (1-4) : 220 - 229
[5] ON THE ZEROS OF THE SOLUTIONS OF SYSTEMS OF HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS
GADSDEN, CP
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1949, 55 (07) : 669 - 669
[6] ON THE GROWTH AND THE ZEROS OF SOLUTIONS OF HIGHER ORDER LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS
Andasmas, Maamar
Belaidi, Benharrat
[J]. PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2015, 98 (112): : 199 - 210
[7] The Separation of Zeros of Solutions of Higher Order Linear Differential Equations With Entire Coefficients
Alotaibi, Abdullah
Langley, J. K.
[J]. RESULTS IN MATHEMATICS, 2013, 63 (3-4) : 1365 - 1373
[8] The Separation of Zeros of Solutions of Higher Order Linear Differential Equations With Entire Coefficients
Abdullah Alotaibi
J. K. Langley
[J]. Results in Mathematics, 2013, 63 : 1365 - 1373
[9] ON THE ZEROS OF SOLUTIONS AND THEIR DERIVATIVES OF SECOND ORDER NON-HOMOGENEOUS LINEAR DIFFERENTIAL EQUATIONS
Latreuch, Zinelaabidine
Belaidi, Benharrat
[J]. MISKOLC MATHEMATICAL NOTES, 2015, 16 (01) : 237 - 248
[10] On the Growth of Solutions of Higher Order Linear Homogeneous and Non-homogeneous Differential Equations
Wu, Nan
Xuan, Zuxing
[J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2023, 30 (02) : 400 - 411

← 1 2 3 4 5 →