Some Properties of Meromorphic Solutions to Systems of Complex Differential-Difference Equations

被引:0
|
作者
Li, Haichou [1 ]
机构
[1] South China Agr Univ, Dept Math, Guangzhou 510642, Guangdong, Peoples R China
关键词
Differential-difference equation; Systems of equation; Meromorphic solutions; Proximity function; Counting function;
D O I
10.1007/s11401-016-0978-0
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Applying Nevanlinna theory of the value distribution of meromorphic functions, the author studies some properties of Nevanlinna counting function and proximity function of meromorphic solutions to a type of systems of complex differential-difference equations. Specifically speaking, the estimates about counting function and proximity function of meromorphic solutions to systems of complex differential-difference equations can be given.
引用
收藏
页码:719 / 728
页数:10
相关论文
共 50 条
  • [11] On the Existence of Meromorphic Solutions of Some Nonlinear Differential-Difference Equations
    Zheng, Xiu-Min
    Xu, Hong-Yan
    [J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 21 (01) : 24 - 34
  • [12] Existence of meromorphic solutions of systems of partial differential-difference equations
    Peng, Jiahu
    Cao, Tingbin
    [J]. ANALYSIS AND MATHEMATICAL PHYSICS, 2023, 13 (01)
  • [13] On meromorphic solutions of certain differential-difference equations
    Liu, Yong
    Gao, Chaofeng
    Jiang, Shuai
    [J]. AIMS MATHEMATICS, 2021, 6 (09): : 10343 - 10354
  • [14] ON UNICITY OF MEROMORPHIC SOLUTIONS OF DIFFERENTIAL-DIFFERENCE EQUATIONS
    Hu, Pei-Chu
    Wang, Qiong-Yan
    [J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 55 (04) : 785 - 795
  • [15] Growth on Meromorphic Solutions of Differential-Difference Equations
    Wang, Qiongyan
    Zhan, Guoping
    Hu, Peichu
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (02) : 1503 - 1515
  • [16] Uniqueness of Meromorphic Solutions for a Class of Complex Linear Differential-Difference Equations
    Hongjin LIN
    Junfan CHEN
    Shuqing LIN
    [J]. Journal of Mathematical Research with Applications, 2022, (04) : 331 - 348
  • [17] Properties of meromorphic solutions of first-order differential-difference equations
    Wu, Lihao
    Chen, Baoqin
    Li, Sheng
    [J]. OPEN MATHEMATICS, 2023, 21 (01):
  • [18] Growth properties of meromorphic solutions of some higher-order linear differential-difference equations
    Bellaama, Rachid
    Belaidi, Benharrat
    [J]. ANALYSIS-INTERNATIONAL MATHEMATICAL JOURNAL OF ANALYSIS AND ITS APPLICATIONS, 2022, 42 (02): : 71 - 88
  • [19] Meromorphic solutions of certain type of differential-difference equations
    Dong, Xianjing
    Liao, Liangwen
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 470 (01) : 327 - 339
  • [20] Admissible meromorphic solutions of algebraic differential-difference equations
    Wang, Qiong-Yan
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (09) : 3044 - 3053