{"title":"Conjugacy between piecewise monotone functions decreasing on characteristic interval","authors":"Jialing Zhang , Xiao Tang , Liu Liu","doi":"10.1016/j.jmaa.2024.129066","DOIUrl":null,"url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"544 1","pages":"Article 129066"},"PeriodicalIF":1.2000,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022247X24009880","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
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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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.
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