Entire Solutions of Some Nonlinear Homogeneous Differential Equations

被引：0

作者：

Mao, Zhiqiang ^{[1
]}

Liu, Huifang ^{[2
]}

机构：

[1] Jiangxi Sci & Technol Normal Univ, Sch Math, Nanchang 330038, Peoples R China

[2] Jiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2024年 / 47卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Nevanlinna theory; Meromorphic function; Nonlinear differential equation; Entire solution;

D O I：

10.1007/s40840-024-01778-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The existence of entire solutions of certain types of nonlinear homogeneous differential equations are investigated. We also find explicit forms of entire solutions of two types of nonlinear monomial differential equations, which are connected to trigonometric identities. Some further questions about nonlinear homogeneous differential equations are posed.

引用

页数：18

共 15 条

[1]

Chuang CT., 1990, Fixed Points and Factorization Theory of Meromorphic Functions

[2]

Clunie J., 1970, Mathematical Essays Dedicated to A.J. Macintyre

[3]

CLUNIE J, 1962, J LOND MATH SOC, V37, P17

[4] Entire solutions of differential equations that are related to trigonometric identities [J].

Gundersen, Gary G. ;

Lu, Wei-Ran ;

Ng, Tuen-Wai ;

Yang, Chung-Chun .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 507 (01)

[5]

Hayman W. K., 1964, Meromorphic Functions

[6]

Laine I., 1993, Nevanlinna Theory and Complex Differential Equations, DOI [10.1515/9783110863147, DOI 10.1515/9783110863147]

[7] Entire functions that share a small function with its derivative [J].

Li, Ping ;

Wang, Wenjie .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 328 (01) :743-751

[8] Entire solutions of certain type of differential equations II [J].

Li, Ping .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 375 (01) :310-319

[9] ON MEROMORPHIC SOLUTIONS OF CERTAIN TYPE OF NON-LINEAR DIFFERENTIAL EQUATIONS [J].

Liao, Liang-Wen ;

Yang, Chung-Chun ;

Zhang, Jian-Jun .

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA, 2013, 38 (02) :581-593

[10] Meromorphic Solutions of Certain Types of Non-linear Differential Equations [J].

Liu, Huifang ;

Mao, Zhiqiang .

COMPUTATIONAL METHODS AND FUNCTION THEORY, 2020, 20 (02) :319-332

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