Entire Solutions of Two Certain Types of Non-linear Differential-Difference Equations

被引:8
|
作者
Chen, Wei [1 ]
Hu, Peichu [2 ]
Wang, Qiong [1 ]
机构
[1] Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing 400065, Peoples R China
[2] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
关键词
Entire solution; Non-linear differential-difference equations; Nevanlinna theory; TUMURA-CLUNIE; THEOREM;
D O I
10.1007/s40315-020-00343-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we describe entire solutions for two certain types of non-linear differential-difference equations of the form f(n)(z) + omega f(n-1) (z) f' (z) + q(z)e(Q(z)) f (z + c) = u(z)e(v(z)), and f(n)(z) + omega f(n-1) (z) f' (z) + q(z)e(Q(z)) f (z + c) = p(1)e(lambda z) + p(2)e(-lambda z), where q, Q, u, v are non-constant polynomials, c, lambda, p(1), p(2) are non-zero constants, and. is a constant. Our results improve and generalize some previous results.
引用
收藏
页码:199 / 218
页数:20
相关论文
共 50 条
  • [1] On Entire Solutions of Two Certain Types of Non-Linear Differential-Difference Equations
    LI Jingjing
    HUANG Zhigang
    [J]. Wuhan University Journal of Natural Sciences, 2022, (03) : 195 - 200
  • [2] Entire Solutions of Two Certain Types of Non-linear Differential-Difference Equations
    Wei Chen
    Peichu Hu
    Qiong Wang
    [J]. Computational Methods and Function Theory, 2021, 21 : 199 - 218
  • [3] Existence of entire solutions of some non-linear differential-difference equations
    Chen, Minfeng
    Gao, Zongsheng
    Du, Yunfei
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [4] Existence of entire solutions of some non-linear differential-difference equations
    Minfeng Chen
    Zongsheng Gao
    Yunfei Du
    [J]. Journal of Inequalities and Applications, 2017
  • [5] ON ENTIRE SOLUTIONS OF CERTAIN TYPE OF DIFFERENTIAL-DIFFERENCE EQUATIONS
    Chen, Zong-Xuan
    Yang, Chung-Chun
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2014, 18 (03): : 677 - 685
  • [6] Entire solutions of certain class of differential-difference equations
    Zhang, Fengrong
    Liu, Nana
    Lu, Weiran
    Yang, Chungchun
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2015, : 1 - 9
  • [7] Entire solutions of certain class of differential-difference equations
    Fengrong Zhang
    Nana Liu
    Weiran Lü
    Chungchun Yang
    [J]. Advances in Difference Equations, 2015
  • [8] ON ENTIRE SOLUTIONS OF TWO TYPES OF SYSTEMS OF COMPLEX DIFFERENTIAL-DIFFERENCE EQUATIONS
    高凌云
    [J]. Acta Mathematica Scientia(English Series)., 2017, 37 (01) - 194
  • [9] On Meromorphic Solutions of Non-linear Differential-Difference Equations
    Zhao, Mingxin
    Huang, Zhigang
    [J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2023, 30 (04) : 1444 - 1466
  • [10] On Meromorphic Solutions of Non-linear Differential-Difference Equations
    MingXin Zhao
    Zhigang Huang
    [J]. Journal of Nonlinear Mathematical Physics, 2023, 30 : 1444 - 1466