Analytic solutions of a composite iterative functional equation

被引：0
|
作者：
Liu, Hanze [1 ]
Li, Wenrong [1 ]
机构：
[1] Binzhou Univ, Dept Math, Binzhou 256603, Peoples R China
来源：
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS | 2006年 / 13卷
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D O I：
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中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper,a composite iterative functional equation is considered. By constructing a convergent power series solution of an auxiliary equation,analytic solutions of the original equation are obtained. We discuss not only in the general case,but also for critical cases as well,especially for beta is a unit root. Our results can be applied to obtain existence of analytic solutions for some other iterative equations and invariant curves.
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页码：138 / 141
页数：4
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