FORM OF SOLUTIONS TO QUADRATIC TRINOMIAL PARTIAL DIFFERENTIAL EQUATIONS WITH TWO COMPLEX VARIABLES

被引:1
作者
Tu, Jin [1 ]
Wei, Huizhen [1 ]
机构
[1] Jiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Jiangxi, Peoples R China
基金
中国国家自然科学基金;
关键词
Entire solution; meromorphic function; existence; partial differential equation; MEROMORPHIC SOLUTIONS;
D O I
10.58997/ejde.2024.23
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This article describes the from of entire solutions to quadratic trinomial partial differential equations (PDEs). By applying the Nevanlinna theory and the characteristic equation of PDEs, we extend some of the results obtained in [24] . Also we also provide examples that illustrate our results.
引用
收藏
页码:1 / 26
页数:26
相关论文
共 50 条
  • [31] Linearly degenerate partial differential equations and quadratic line complexes
    Ferapontov, E. V.
    Moss, J.
    COMMUNICATIONS IN ANALYSIS AND GEOMETRY, 2015, 23 (01) : 91 - 127
  • [32] Solutions of Complex Fermat-Type Partial Difference and Differential-Difference Equations
    Xu, Ling
    Cao, Tingbin
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (06)
  • [33] On entire solutions of certain partial differential equations
    Lu, Feng
    Bi, Wenqi
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 516 (01)
  • [34] Results on solutions of several systems of the product type complex partial differential difference equations
    Liu, Xiao Lan
    Xu, Hong Yan
    Xu, Yi Hui
    Li, Nan
    DEMONSTRATIO MATHEMATICA, 2024, 57 (01)
  • [35] Entire solutions for several complex partial differential-difference equations of Fermat type in C2
    Gui, Xian Min
    Xu, Hong Yan
    Tang, Wen Ju
    Wang, Hua
    OPEN MATHEMATICS, 2021, 19 (01): : 1416 - 1434
  • [36] EXACT FORMS OF ENTIRE SOLUTIONS FOR FERMAT TYPE PARTIAL DIFFERENTIAL EQUATIONS IN C2
    Chen, Yu Xian
    Xu, Hong Yan
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2021,
  • [37] FORMS OF ENTIRE SOLUTIONS OF PARTIAL DIFFERENTIAL DIFFERENCE EQUATIONS WITH CONSTANT COEFFICIENTS
    Ding, Xin
    Zheng, Xiu Min
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 2024 (37) : 1 - 15
  • [38] Results on solutions of several product type nonlinear partial differential equations in C3
    Xu, Hong Yan
    Liu, Kai
    Xuan, Zuxing
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 543 (01)
  • [39] Obtaining exact solutions of nonlinear partial differential equations via two different methods
    Akbulut, Arzu
    Islam, S. M. Rayhanul
    Rezazadeh, Hadi
    Tascan, Filiz
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2022, 36 (05):