A generalized result on the polynomial-like iterative equation

被引：0
|
作者：
Zhang, Pingping [1 ]
Zeng, Yingying [2 ,3 ]
机构：
[1] Binzhou Univ, Coll Sci, Binzhou 256603, Peoples R China
[2] Sichuan Normal Univ, Sch Math Sci, Chengdu 610068, Peoples R China
[3] Sichuan Normal Univ, VC & VR Key Lab Sichuan Prov, Chengdu 610068, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2021年 / 41卷 / 01期
基金：
美国国家科学基金会;
关键词：
height; characteristic interval; fort; PM function; EQUIVARIANCE;
D O I：
10.1007/s10473-021-0110-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Most results on the polynomial-like iterative equation are given under the condition that the given function is monotone, while a work by L. Liu and X. Gong gets non-monotone PM solutions with height 1 when the given function is of the same case. Removing the condition on height for the given function, we first give a method to assert the nonexistence of C-0 solutions, then present equivalent conditions for the existence of PM solutions with finite height. Finally, as an application of the equivalent conditions, we construct the PM solutions in the case that the given function has one fort.
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页码：177 / 186
页数：10
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