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.
引用
收藏
页码：177 / 186
页数：10
相关论文
共 50 条
  • [41] On a Zoltan Boros' problem connected with polynomial-like iterative equations
    Draga, Szymon
    Morawiec, Janusz
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2015, 26 : 56 - 63
  • [42] On polynomial-like functions
    Kostov, VP
    BULLETIN DES SCIENCES MATHEMATIQUES, 2005, 129 (09): : 775 - 781
  • [43] Polynomial-like property
    REAL FATOU CONJECTURE, 1998, (144): : 45 - 65
  • [44] Global Solutions for Leading Coefficient Problem of Polynomial-like Iterative Equations
    Wenmeng Zhang
    Bing Xu
    Weinian Zhang
    Results in Mathematics, 2013, 63 : 79 - 93
  • [45] Global Solutions for Leading Coefficient Problem of Polynomial-like Iterative Equations
    Zhang, Wenmeng
    Xu, Bing
    Zhang, Weinian
    RESULTS IN MATHEMATICS, 2013, 63 (1-2) : 79 - 93
  • [46] Dynamics of polynomial-like mappings
    Dinh, TC
    Sibony, N
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2003, 82 (04): : 367 - 423
  • [47] On continuous solutions of n-th order polynomial-like iterative equations
    Zhang, Wenmeng
    Zhang, Weinian
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2010, 76 (1-2): : 117 - 134
  • [48] ON THE DYNAMICS OF POLYNOMIAL-LIKE MAPPINGS
    DOUADY, A
    HUBBARD, JH
    ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 1985, 18 (02): : 287 - 343
  • [49] On hyperbolic polynomial-like functions and their derivatives
    Kostov, Vladimir Petrov
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2007, 137 : 819 - 845
  • [50] Real analyticity of topological pressure for parabolically semihyperbolic generalized polynomial-like maps
    Stratmann, BO
    Urbanski, M
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2003, 14 (01): : 119 - 134
12345