迭代函数方程的解析不变曲线的存在性 Existence of Analytic Invariant Curves for Iterative Functional Equations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

迭代函数方程的解析不变曲线的存在性

引用本文：	刘凌霞. 迭代函数方程的解析不变曲线的存在性[J]. 潍坊学院学报, 2010, 10(4): 69-74

作者姓名：	刘凌霞

作者单位：	潍坊学院,山东,潍坊,261061

摘要：	在复数域中讨论二阶迭代函数方程的解析解。对Schrder变换中的常数α,主要讨论α是共振点,即α是单位根的情形以及α在共振点附近且满足Brjuno条件的情形。
关键词：	迭代函数方程解析解优级数 Brjuno条件
Existence of Analytic Invariant Curves for Iterative Functional Equations

LIU Ling-xia. Existence of Analytic Invariant Curves for Iterative Functional Equations[J]. Journal of Weifang University, 2010, 10(4): 69-74

Authors:	LIU Ling-xia

Affiliation:	LIU Ling-xia (Weifang University,Weifang 261061,China)

Abstract:	Analytic solutions of an second-order iterative functional equation are discussed in a complex field.For the constant α given in the transformation,we discuss those α is at resonance,i.e.at a root of the unity and those α near resonance under the Brjuno condition.

Keywords:	iterative functional differential equation analytic solution majorant series Brjuno condition
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