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

作　　者：刘凌霞[1] 

机构地区：[1]潍坊学院,山东潍坊261061

出　　处：《潍坊学院学报》2010年第4期69-74,共6页Journal of Weifang University

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。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.

关 键 词：迭代 函数方程 解析解 优级数 Brjuno条件 

分 类 号：O175[理学—数学]