FINITE AND INFINITE ORDER OF GROWTH OF SOLUTIONS TO LINEAR DIFFERENTIAL EQUATIONS NEAR A SINGULAR POINT

被引：0

作者：

Cherief, Samir ^{[1
]}

Hamouda, Saada ^{[1
]}

机构：

[1] Univ Mostaganem UMAB, Lab Pure & Appl Math, Dept Math, Fac Exact Sci & Comp Sci, Site 2, Zaghloul, Mostaganem, Algeria

来源：

MATHEMATICA BOHEMICA | 2021年 / 146卷 / 03期

关键词：

linear differential equation; growth of solution; finite singular point;

D O I：

10.21136/MB.2020.0148-19

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the growth of solutions of a certain class of linear differential equation where the coefficients are analytic functions in the closed complex plane except at a finite singular point. For that, we will use the value distribution theory of meromorphic functions developed by Rolf Nevanlinna with adapted definitions.

引用

页码：315 / 332

页数：18

共 50 条

[1] On [p, q]-Order of Growth of Solutions of Complex Linear Differential Equations near a Singular Point
Long, Jianren
Zeng, Sangui
FILOMAT, 2019, 33 (13) : 4013 - 4020
[2] GROWTH OF SOLUTIONS OF A CLASS OF LINEAR DIFFERENTIAL EQUATIONS NEAR A SINGULAR POINT
Cherief, Samir
Hamouda, Saada
KRAGUJEVAC JOURNAL OF MATHEMATICS, 2023, 47 (02): : 187 - 201
[3] The possible orders of growth of solutions to certain linear differential equations near a singular point
Hamouda, Saada
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 458 (02) : 992 - 1008
[4] GROWTH OF ENTIRE SOLUTIONS OF DIFFERENTIAL EQUATIONS OF FINITE AND INFINITE ORDER
GRUMAN, L
ANNALES DE L INSTITUT FOURIER, 1972, 22 (01) : 211 - &
[5] LINEAR DIFFERENTIAL EQUATIONS WITH SOLUTIONS OF FINITE GROWTH ORDER
BOHMER, K
ARCHIV DER MATHEMATIK, 1971, 22 (04) : 394 - &
[6] On the Infinite φ-Order Solutions of Second Order Linear Differential Equations
Yu, Hui
Li, Xiaomin
COMPUTATIONAL METHODS AND FUNCTION THEORY, 2024,
[7] Linear Differential Equations with Analytic Coefficients Having the Same Order Near a Singular Point
Samir Cherief
Saada Hamouda
Bulletin of the Iranian Mathematical Society, 2021, 47 : 1737 - 1749
[8] Linear Differential Equations with Analytic Coefficients Having the Same Order Near a Singular Point
Cherief, Samir
Hamouda, Saada
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2021, 47 (06) : 1737 - 1749
[9] SOLUTIONS TO LINEAR GENERALIZED DIFFERENTIAL EQUATIONS OF INFINITE ORDER
PROTASOV, VI
DOKLADY AKADEMII NAUK SSSR, 1964, 154 (06): : 1273 - &
[10] INFINITE ORDER OF GROWTH OF SOLUTIONS TO LINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENTS
Mahmoudi, Sofiane
Hamouda, Saada
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2023, 89 : 115 - 124

← 1 2 3 4 5 →