On entire solutions of system of Fermat type difference and differential-difference equations

被引:2
|
作者
Haldar, Goutam [1 ]
机构
[1] Malda Coll, Dept Math, Malda 732101, West Bengal, India
来源
JOURNAL OF ANALYSIS | 2024年 / 32卷 / 03期
关键词
Entire solutions; Fermat-type; Differential difference equations; Nevanlinna theory;
D O I
10.1007/s41478-023-00702-3
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we study the existence and precise form of entire solutions of finite order for several system of Fermat type difference as well as differential difference equations. Our results are the generalization of the results due to Gao (Acta Math Sin (Chin Ser) 59:677-685, 2016) and Liu et al. (Arch Math 99:147-155, 2012) to a large extent. We exhibit some examples in support of our results.
引用
收藏
页码:1519 / 1543
页数:25
相关论文
共 50 条
  • [41] Entire solutions for several second-order partial differential-difference equations of Fermat type with two complex variables
    Hong Yan Xu
    Da Wei Meng
    Sanyang Liu
    Hua Wang
    Advances in Difference Equations, 2021
  • [42] Entire solutions for several second-order partial differential-difference equations of Fermat type with two complex variables
    Xu, Hong Yan
    Meng, Da Wei
    Liu, Sanyang
    Wang, Hua
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [43] Differential-difference Equations in Entire Functions
    Belitskii, Genrich
    Tkachenko, Vadim
    CHARACTERISTIC FUNCTIONS, SCATTERING FUNCTIONS AND TRANSFER FUNCTIONS: THE MOSHE LIVSIC MEMORIAL VOLUME, 2010, 197 : 1 - 19
  • [44] ENTIRE SOLUTIONS FOR NON-LINEAR DIFFERENTIAL-DIFFERENCE EQUATIONS
    Waghamore, Harina p.
    Erajikkappa, Manjunath banagere
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2025, 2025 : 1 - 10
  • [45] MEROMORPHIC SOLUTIONS OF A TYPE OF SYSTEM OF COMPLEX DIFFERENTIAL-DIFFERENCE EQUATIONS
    Li, Haichou
    Gao, Lingyun
    ACTA MATHEMATICA SCIENTIA, 2015, 35 (01) : 195 - 206
  • [46] On Transcendental Entire Solutions of Systems of Complex Differential-Difference Equations
    Manli LIU
    Lingyun GAO
    JournalofMathematicalResearchwithApplications, 2017, 37 (03) : 299 - 306
  • [47] On limiting directions of entire solutions of complex differential-difference equations
    H. X. Dai
    J. Y. Qiao
    T. B. Cao
    Analysis Mathematica, 2023, 49 (2) : 381 - 401
  • [48] ON LIMITING DIRECTIONS OF ENTIRE SOLUTIONS OF COMPLEX DIFFERENTIAL-DIFFERENCE EQUATIONS
    Dai, H. X.
    Qiao, J. Y.
    Cao, T. B.
    ANALYSIS MATHEMATICA, 2023, 49 (02) : 381 - 401
  • [49] Solutions of Complex Fermat-Type Partial Difference and Differential-Difference Equations (vol 15, 227, 2018)
    Xu, Ling
    Cao, Tingbin
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2020, 17 (01)
  • [50] The growth of entire solutions of certain nonlinear differential-difference equations
    Hao, Wenjie
    Zhang, Qingcai
    AIMS MATHEMATICS, 2022, 7 (09): : 15904 - 15916