A GENERALIZED RESULT ON THE POLYNOMIAL-LIKE ITERATIVE EQUATION

作     者：Pingping ZHANG Yingying ZENG 张萍萍;曾莹莹

作者机构：College of ScienceBinzhou UniversityBinzhou 256603China School of Mathematical Sciences and V.C.&V.R.Key Lab of Sichuan ProvinceSichuan Normal UniversityChengdu 610068China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2021年第41卷第1期

页      面：177-186页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the Natural Science Foundation of Shandong Province(ZR2017MA019) the Scientific Research Fund of Binzhou University(BZXYL1802) supported by the National Science Foundation of China(11501394) the Science Research Fund of Sichuan Provincial Education Department(15ZB0041) funding of School of Mathematical Sciences and V.C.&V.R.Key Lab of Sichuan Province 

主　　题：height characteristic interval fort PM function 

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 *** and *** gets nonmonotone PM solutions with height 1 when the given function is of the same *** 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 ***,as an application of the equivalent conditions,we construct the PM solutions in the case that the given function has one fort.