Continuously decreasing solutions for polynomial-like iterative equations

被引：0
|
作者：
LI Lin [1 ]
ZHANG WenMeng [2 ]
机构：
[1] College of Mathematics,Physics and Information Engineering,Jiaxing University
[2] College of Mathematics Science,Chongqing Normal University
来源：
ScienceChina(Mathematics) | 2013年 / 56卷 / 05期
基金：
中国国家自然科学基金;
关键词：
iterative equation; decreasing solution; existence; uniqueness;
D O I：
暂无
中图分类号：
O174.14 [多项式理论];
学科分类号：
070104 ;
摘要：
Most known results on existence,uniqueness and stability for solutions of the polynomial-like iterative equation Σni=1λifi(x)=F(x) were obtained in the case of λ 1 = 0.In this paper,we construct C 0 decreasing solutions of the iterative equation in the case that λ 1 can vanish to answer the Leading Coefficient Problem.Moreover,we also give the necessary and sufficiently condition for uniqueness of solutions.
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页码：1051 / 1058
页数：8
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