On existence of meromorphic solutions for certain q-difference equation

被引：0
|
作者：
Peng, Changwen [1 ]
Chen, Zongxuan [2 ]
Huang, Huawei [3 ]
Tao, Lei [3 ]
机构：
[1] Guiyang Univ, Sch Math & Informat Sci, Guiyang 550005, Peoples R China
[2] South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R China
[3] Guizhou Normal Univ, Sch Math Sci, Guiyang 550001, Peoples R China
来源：
SCIENCEASIA | 2023年 / 49卷 / 01期
基金：
中国国家自然科学基金;
关键词：
q-difference equation; difference equation; existence of transcendental meromorphic solution;
D O I：
10.2306/scienceasia1513-1874.2022.126
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We consider the existence of transcendental meromorphic solutions of q-difference equation Sigma(n)(j =1) c(j)(z)f(q(j)z) = P (z, f (z))/Q(z, f (z)), where P(z, f (z)) and Q(z, f (z)) are polynomials in f having rational coefficients and no common roots, c(j)(z) are rational functions, q is an element of C and 0 < vertical bar q vertical bar <= 1. We obtain that such equation has no transcendental meromorphic solutions for the case m = deg(f) P - deg(f) Q >= 2.
引用
收藏
页码：49 / 55
页数：7
相关论文
共 50 条
  • [1] On existence of meromorphic solutions for nonlinear q-difference equation
    Peng, Changwen
    Huang, Huawei
    Tao, Lei
    SCIENCEASIA, 2023, 49 (03): : 369 - 376
  • [2] On Properties of Meromorphic Solutions for Certain q-Difference Equation
    Lei TAO
    Jianren LONG
    JournalofMathematicalResearchwithApplications, 2023, 43 (01) : 83 - 90
  • [3] On properties of meromorphic solutions for a certain q-difference Painleve equation
    Zheng, Xiu-Min
    Xu, Hong-Yan
    Wang, Hua
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 23 (01) : 42 - 51
  • [4] Existence of zero-order meromorphic solutions of certain q-difference equations
    Du, Yunfei
    Gao, Zongsheng
    Zhang, Jilong
    Zhao, Ming
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [5] Existence of zero-order meromorphic solutions of certain q-difference equations
    Yunfei Du
    Zongsheng Gao
    Jilong Zhang
    Ming Zhao
    Journal of Inequalities and Applications, 2018
  • [6] Existence and properties of meromorphic solutions of some q-difference equations
    Xu, Na
    Zhong, Chun-Ping
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [7] Existence and properties of meromorphic solutions of some q-difference equations
    Na Xu
    Chun-Ping Zhong
    Advances in Difference Equations, 2015
  • [8] The growth of meromorphic solutions for q-difference Painleve IV equation
    Peng, Chang-Wen
    Huang, Hua-Wei
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 492 (02)
  • [9] ON THE EXISTENCE OF POSITIVE SOLUTIONS OF A NONLINEAR q-DIFFERENCE EQUATION
    Hassan, H. A.
    El-Shahed, Moustafa
    Mansour, Z. S.
    FIXED POINT THEORY, 2012, 13 (02): : 517 - 526
  • [10] Growth of meromorphic solutions of certain types of q-difference differential equations
    Minfeng Chen
    Yeyang Jiang
    Zongsheng Gao
    Advances in Difference Equations, 2017
12345