Iteration of a class of multi-plateau mappings

IF 0.7 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2024-10-22 DOI:10.1007/s00010-024-01129-2

Jiaju Huang, Liu Liu, Jialing Zhang

引用次数: 0

Abstract

Iteration is one of the most important topics in the field of functional equations, which is also concerned with dynamical systems and operator theory. In this paper we discuss a class of multi-plateau mappings with finitely many P-intervals whose range crosses the diagonals and classifies them into four classes. For each class the properties of all the orbits of the two endpoints of the P-intervals are investigated in a similar way as for symbolic dynamical systems, and finally the iteration of these multi-plateau mappings are given.

Abstract Image

查看原文本刊更多论文

一类多平台映射的迭代

迭代是泛函方程领域的重要课题之一，它还涉及到动力系统和算子理论。本文讨论了一类具有有限多个p区间的多平台映射，其范围与对角线相交，并将其分为四类。对于每一类，用与符号动力系统相似的方法研究了p区间两端的所有轨道的性质，最后给出了这些多平台映射的迭代。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Aequationes Mathematicae MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： aequationes mathematicae is an international journal of pure and applied mathematics, which emphasizes functional equations, dynamical systems, iteration theory, combinatorics, and geometry. The journal publishes research papers, reports of meetings, and bibliographies. High quality survey articles are an especially welcome feature. In addition, summaries of recent developments and research in the field are published rapidly.