ON THE GROWTH OF SOLUTIONS OF COMPLEX DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENTS OF FINITE LOGARITHMIC ORDER

被引：0

作者：

Cao, Ting-Bin ^{[1
]}

Liu, Kai ^{[1
]}

Wang, Jun ^{[2
]}

机构：

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

[2] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China

来源：

MATHEMATICAL REPORTS | 2013年 / 15卷 / 03期

关键词：

entire function; differential equation; Nevanlinna theory; finite logarithmic order; MEROMORPHIC SOLUTIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The concept of logarithmic order is used to investigate the growth of solutions of the linear differential equations f((k)) + A(k-1) (z)f((k-1)) + ... + A(1) (z) f' + A(0) (z) f = 0, f((k)) + A(k-1) (z) f((k-1)) + ... + A(1)(z) f' + A(0) (z)(f) = F (z), where A(0) not equal 0, A(1), ... , A(k-1) and F not equal 0 are transcendental entire functions with orders zero.

引用

页码：249 / 269

页数：21

共 50 条

[21] Infinite growth of solutions of second order complex differential equations with entire coefficient having dynamical property
Zhang, Guowei
Yang, Lianzhong
APPLIED MATHEMATICS LETTERS, 2021, 112
[22] The Growth of Solutions of Higher Order Differential Equations with Coefficients Having the Same Order
Yanyan ZHAN
Lipeng XIAO
Journal of Mathematical Research with Applications, 2015, 35 (04) : 387 - 399
[23] GROWTH OF ENTIRE SOLUTIONS OF ALGEBRAIC DIFFERENTIAL EQUATIONS
Yuan, Wenjun
Li, Yezhou
Lin, Jianming
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[24] On the growth of solutions of second order linear differential equations with extremal coefficients
Jian Ren Long
Peng Cheng Wu
Zheng Zhang
Acta Mathematica Sinica, English Series, 2013, 29 : 365 - 372
[25] On the Growth of Solutions of Second Order Linear Differential Equations with Extremal Coefficients
Jian Ren LONG
Peng Cheng WU
Zheng ZHANG
Acta Mathematica Sinica,English Series, 2013, (02) : 365 - 372
[26] On the growth of solutions of second order linear differential equations with extremal coefficients
Long, Jian Ren
Wu, Peng Cheng
Zhang, Zheng
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 29 (02) : 365 - 372
[27] THE　COMPLEX　OSCILLATION　OF　NON－HOMOGENEOUS　LINEAR　DIFFERENTIAL　EQUATIONS　WITH　INFINITE　ORDER　ENTIRE　COEFFICIENTS
李贤瑜
ANNALS OF DIFFERENTIAL EQUATIONS, 1994, (02) : 169 - 175
[28] GROWTH OF SOLUTIONS TO SECOND-ORDER COMPLEX DIFFERENTIAL EQUATIONS
Li, Nan
Yang, Lianzhong
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
[29] The radial oscillation of entire solutions of complex differential equations
Huang, Zhi-Gang
Wang, Jun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 431 (02) : 988 - 999
[30] Growth of solutions of three order differential equations
Chen Z.
Applied Mathematics-A Journal of Chinese Universities, 2005, 20 (1) : 35 - 44

← 1 2 3 4 5 →