A GENERALIZED RESULT ON THE POLYNOMIAL-LIKE ITERATIVE EQUATION  

作　　者：Pingping ZHANG Yingying ZENG 张萍萍;曾莹莹(College of Science,Binzhou University,Binzhou 256603,China;School of Mathematical Sciences and V.C.&V.R.Key Lab of Sichuan Province,Sichuan Normal University,Chengdu 610068,China)

机构地区：[1]College of Science,Binzhou University,Binzhou 256603,China [2]School of Mathematical Sciences and V.C.&V.R.Key Lab of Sichuan Province,Sichuan Normal University,Chengdu 610068,China

出　　处：《Acta Mathematica Scientia》2021年第1期177-186,共10页数学物理学报（B辑英文版）

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。

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 nonmonotone 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.

关 键 词：HEIGHT characteristic interval FORT PM function 

分 类 号：O174.14[理学—数学]