On the Algebraic Dependence of Solutions of the Second Painlevé Equation

被引:0
|
作者
V. I. Gromak
机构
[1] Belarus State University,
来源
Differential Equations | 2002年 / 38卷
关键词
Differential Equation; Partial Differential Equation; Ordinary Differential Equation; Functional Equation; Algebraic Dependence;
D O I
暂无
中图分类号
学科分类号
摘要
引用
收藏
页码:899 / 901
页数:2
相关论文
共 50 条
  • [41] Asymptotic expansions for partial solutions of the sixth Painlevé equation
    V. L. Vereshchagin
    Theoretical and Mathematical Physics, 2001, 128 : 996 - 1006
  • [42] Quantum Painlevé Second Lax Pair and Quantum (Matrix) Analogues of Classical Painlevé II Equation
    Waseem, Muhammad
    Mahmood, Irfan
    Sohail, Hira
    Hussain, Ejaz
    Elansary, Hosam O.
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2024, 93 (05)
  • [43] Uniformization and transcendence of solutions for the first and second Painlevé hierarchies
    Kudryashov, Nicolai A.
    Soukharev, Mikhail B.
    Physics Letters, Section A: General, Atomic and Solid State Physics, 1998, 237 (4-5): : 206 - 216
  • [44] Rational solutions of Painlevé-II equation as Gram determinant
    Zhang, Xiaoen
    Lu, Bing-Ying
    CHINESE PHYSICS B, 2023, 32 (12)
  • [45] Some properties of the solutions of higher analogue of the Painlevé equation
    Li Y.-Z.
    Acta Mathematicae Applicatae Sinica, 2006, 22 (1) : 59 - 64
  • [46] Basic asymptotic expansions of solutions to the sixth Painlevé equation
    Goryuchkina I.V.
    Journal of Mathematical Sciences, 2009, 160 (1) : 1 - 9
  • [47] Classes of Painlevé type second-order differential equation of the second degree
    N. S. Berezkina
    I. P. Martynov
    V. A. Pron’ko
    Differential Equations, 2000, 36 : 39 - 46
  • [48] Global Asymptotics of the Second Painlevé Equation in Okamoto’s Space
    P. Howes
    N. Joshi
    Constructive Approximation, 2014, 39 : 11 - 41
  • [49] On the connection problem for the second Painlevé equation with large initial data
    Long, Wen-Gao
    Zeng, Zhao-Yun
    arXiv, 2020,
  • [50] Global Asymptotics of the Second Painlev, Equation in Okamoto's Space
    Howes, P.
    Joshi, N.
    CONSTRUCTIVE APPROXIMATION, 2014, 39 (01) : 11 - 41