The polynomial-like iterative equation for PM functions

被引：0
|
作者：
LIU Liu [1 ]
GONG XiaoBing [2 ]
机构：
[1] Department of Mathematics, Southwest Jiaotong University
[2] Department of Mathematics, Neijiang Normal University
来源：
ScienceChina(Mathematics) | 2017年 / 60卷 / 08期
基金：
中国国家自然科学基金;
关键词：
functional equation; iteration; non-monotonicity; continuous solution; leading coefficient problem;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
The polynomial-like iterative equation is an important form of functional equations, in which iterates of the unknown function are linked in a linear combination. Most of known results were given for the given function to be monotone. We discuss this equation for continuous solutions in the case that the given function is a PM(piecewise monotone) function, a special class of non-monotonic functions. Using extension method, we give a general construction of solutions for the polynomial-like iterative equation.
引用
收藏
页码：1503 / 1514
页数：12
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