Analytic solutions of a q-difference equation and applications to iterative equations

被引：8

作者：

Si, JG ^{[1
]}

Zhang, WN

机构：

[1] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China

[2] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2004年 / 10卷 / 11期

关键词：

q-difference equation; iteration; functional equation; analytic solution; small divisor;

D O I：

10.1080/10236190412331272607

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a nonlinear q-difference equation is investigated in the complex field C for existence of local invertible analytic solutions. We discuss not only in the case \q\not equal1 but also for \q\not equal1. Our results can be applied to obtain existence of analytic solutions for some iterative equations.

引用

页码：955 / 962

页数：8

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