Some Properties of Solutions for Some q-Difference Equations Containing Painleve Equation

被引:1
|
作者
Zhao, Peng Jun [1 ]
Xu, Hong Yan [2 ]
机构
[1] Shangluo Univ, Sch Math & Comp Applicat, Shangluo 726000, Shaanxi, Peoples R China
[2] Jingdezhen Ceram Inst, Dept Informat & Engn, Jingdezhen 333403, Jiangxi, Peoples R China
基金
中国国家自然科学基金;
关键词
MEROMORPHIC SOLUTIONS; NEVANLINNA THEORY;
D O I
10.1155/2018/8318570
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The existence and growth of meromorphic solutions f (z) for some q-difference equations are studied, and some estimates for the exponent of convergence of poles of Delta(q)f, Delta(2)(q)f, Delta(q)f/f, and Delta(2)(q)f/f are also obtained. Our theorems are improvements and extensions of the previous results.
引用
收藏
页数:10
相关论文
共 50 条
  • [21] Some results on q-difference equations
    Zhang, Junchao
    Wang, Gang
    Chen, Junjie
    Zhao, Rongxiang
    ADVANCES IN DIFFERENCE EQUATIONS, 2012,
  • [22] Some Findings on Growth of Solutions of Complex q-Difference Equations
    Long, Jianren
    Wang, Ling
    JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2024, 59 (06): : 460 - 470
  • [23] Value Distribution of Meromorphic Solutions of Some q-Difference Equations
    Xiu Min ZHENG Zong Xuan CHEN Institute of Mathematics and Information ScienceJiangxi Normal UniversityJiangxi PRChinaSchool of Mathematical SciencesSouth China Normal UniversityGuangdong PRChina
    数学研究与评论, 2011, 31 (04) : 698 - 704
  • [24] Value Distribution of Meromorphic Solutions of Some q-Difference Equations
    Xiu Min ZHENG 1
    2.School of Mathematical Sciences
    Journal of Mathematical Research with Applications, 2011, (04) : 698 - 704
  • [25] Existence and growth of meromorphic solutions of some nonlinear q-difference equations
    Zheng, Xiu-Min
    Tu, Jin
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [26] On a q-difference Painleve III equation:: II.: Rational solutions
    Kajiwara, K
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2003, 10 (03) : 282 - 303
  • [27] 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
  • [28] Meromorphic solutions of some non-linear q-difference equations
    Dyavanal, Renukadevi S.
    Muttagi, Jyoti B.
    Shilpa, N.
    TBILISI MATHEMATICAL JOURNAL, 2020, 13 (03) : 53 - 62
  • [29] Existence and growth of meromorphic solutions of some nonlinear q-difference equations
    Xiu-Min Zheng
    Jin Tu
    Advances in Difference Equations, 2013
  • [30] Universal character and q-difference Painleve equations
    Tsuda, Teruhisa
    MATHEMATISCHE ANNALEN, 2009, 345 (02) : 395 - 415