Growth on Meromorphic Solutions of Differential–Difference Equations

被引：0
|
作者：
Qiongyan Wang
Guoping Zhan
Peichu Hu
机构：
[1] Shandong University,Department of Mathematics
[2] Zhejiang University of Technology,Department of Mathematics
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2020年 / 43卷
关键词：
Differential–difference equations; Hyper-order; Meromorphic solutions; Nevanlinna theory; 39B32; 30D35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
By using Nevanlinna theory and linear algebra, we show that the number one is a lower bound of the hyper-order of any meromorphic solution of a nonlinear differential–difference equation under certain conditions.
引用
收藏
页码：1503 / 1515
页数：12
相关论文
共 50 条
  • [41] Meromorphic Solutions of Certain Nonlinear Difference Equations
    Liu, Huifang
    Mao, Zhiqiang
    RESULTS IN MATHEMATICS, 2021, 76 (02)
  • [42] Meromorphic solutions of certain nonlinear difference equations
    Liu, Huifang
    Mao, Zhiqiang
    Zheng, Dan
    OPEN MATHEMATICS, 2020, 18 : 1292 - 1301
  • [43] ON GROWTH OF MEROMORPHIC SOLUTIONS OF NONLINEAR DIFFERENCE EQUATIONS AND TWO CONJECTURES OF CC YANG
    Zhang, Yueyang
    Gao, Zongsheng
    Zhang, Jilong
    ACTA MATHEMATICA SCIENTIA, 2016, 36 (01) : 195 - 202
  • [44] Existence and growth of meromorphic solutions of some nonlinear q-difference equations
    Zheng, Xiu-Min
    Tu, Jin
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [45] On the Growth Order of Meromorphic Solutions of Some Ultrametric q-Difference Equations
    Boughaba, Houda
    Zerzaihi, Tahar
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2023, 44 (04) : 1280 - 1288
  • [46] NON-LINEAR COMPLEX DIFFERENTIAL-DIFFERENCE EQUATIONS ADMIT MEROMORPHIC SOLUTIONS
    Liu, K.
    Song, C. J.
    ANALYSIS MATHEMATICA, 2019, 45 (03) : 569 - 582
  • [47] Meromorphic solutions of a class of delay differential equations
    Tan, Chengliang
    Liu, Yan
    Korhonen, Risto
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 547 (02)
  • [48] ON TRANSCENDENTAL MEROMORPHIC SOLUTIONS OF CERTAIN TYPES OF NONLINEAR DIFFERENTIAL EQUATIONS
    Zhang, Jianjun
    HOUSTON JOURNAL OF MATHEMATICS, 2017, 43 (04): : 1057 - 1070
  • [49] Meromorphic solutions of nonlinear ordinary differential equations
    Siddheshwar, P. G.
    Tanuja, A.
    Bhoosnurmath, Subhas S.
    Barki, Mahesh
    TBILISI MATHEMATICAL JOURNAL, 2019, 12 (02) : 77 - 88
  • [50] On Meromorphic Solutions of Nonlinear Complex Differential Equations
    J.-F. Chen
    Y.-Y. Feng
    Analysis Mathematica, 2023, 49 : 699 - 719
12345