Iterative roots of piecewise monotonic functions with finite nonmonotonicity height

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:411

Article

Li, Lin¹  Chen, Jingmin² 

[1] Jiaxing Univ, Coll Math Phys & Informat Engn, Jiaxing 314001, Zhejiang, Peoples R China

[2] Sichuan Univ, Sch Math, Chengdu 610064, Sichuan, Peoples R China

关键词: Iterative root;    Piecewise monotonic function;    Nonmonotonicity height;    Fort;    Interval sequence;   

DOI  :  10.1016/j.jmaa.2013.09.051

来源: Elsevier

【 摘 要 】

It is known that any continuous piecewise monotonic function with nonmonotonicity height not less than 2 has no continuous iterative roots of order n greater than the number of forts of the function. In this paper, we consider the problem of iterative roots in the case that the order n is less than or equal to the number of forts. By investigating the trajectory of possible continuous roots, we give a general method to find all iterative roots of those functions with finite nonmonotonicity height. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free