特征区间上递减的片断单调函数之间的共轭关系

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2024-11-19 DOI:10.1016/j.jmaa.2024.129066

Jialing Zhang , Xiao Tang , Liu Liu

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引用次数: 0

摘要

众所周知，拓扑共轭在函数方程和动力系统的研究中非常重要，因为如果所有函数都是拓扑共轭的，它们就共享拓扑动力特性。本文给出了在特征区间上递减的两个非单调高度为 1 的片断单调函数之间拓扑共轭的必要条件和充分条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Conjugacy between piecewise monotone functions decreasing on characteristic interval

It is known that topological conjugacy is important in the study of functional equations and dynamical systems, since all functions share topological dynamical properties if they are topologically conjugate. In this paper, the necessary and sufficient conditions of topological conjugacy between two piecewise monotone functions of non-monotonicity height 1, which are decreasing on their characteristic intervals, are given.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.