Some results on difference Painleve IV equations

被引：6
作者：
Zhang, Jilong [1 ,2 ,3 ]
机构：
[1] Beihang Univ, LMIB, Beijing, Peoples R China
[2] Beihang Univ, Sch Math & Syst Sci, Beijing, Peoples R China
[3] UCL, Dept Math, Gower St, London WC1E 6BT, England
来源：
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2016年 / 22卷 / 12期
关键词：
Painleve difference equation; meromorphic solution; iterate; MEROMORPHIC SOLUTIONS; INTEGRABILITY;
D O I：
10.1080/10236198.2016.1255207
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the family of difference Painleve IV equation (w(z + 1) + w(z))(w(z) + w(z - 1)) = R(z, w), where R(z, w), is rational in w and meromorphic in z. If equation assumes an admissible meromorphic solution of hyper-order rho 2(w) < 1, we give the coefficients relations of all the classification, which are known as the difference Painleve properties.
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页码：1912 / 1929
页数：18
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