Non-monotonic iterative roots extended from characteristic intervals

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:378

Article

Zhang, Weinian¹ 

[1] Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Sichuan, Peoples R China

关键词: Iterative root;    Non-monotonic;    PM function;    Characteristic interval;    Extension;   

DOI  :  10.1016/j.jmaa.2011.01.037

来源: Elsevier

【 摘 要 】

It has been treated as a difficult problem to find iterative roots of non-monotonic functions. For some PM functions which do not increase the number of forts under iteration a method was given to obtain a non-monotonic iterative root by extending a monotone iterative root from the characteristic interval. In this paper we prove that every continuous iterative root is an extension from the characteristic interval and give various modes of extension for those iterative roots of PM functions. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free