{"title":"半部分双曲族的双拟阴影","authors":"Lin Chen , Yunhua Zhou","doi":"10.1016/j.jmaa.2025.129550","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we introduce the concept of a semi-partially hyperbolic family and prove that semi-partial hyperbolicity implies partial hyperbolicity under certain conditions. We also establish that a semi-partially hyperbolic family possesses the bi-quasi-shadowing property.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"549 2","pages":"Article 129550"},"PeriodicalIF":1.2000,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Bi-quasi-shadowing for semi-partially hyperbolic families\",\"authors\":\"Lin Chen , Yunhua Zhou\",\"doi\":\"10.1016/j.jmaa.2025.129550\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In this paper, we introduce the concept of a semi-partially hyperbolic family and prove that semi-partial hyperbolicity implies partial hyperbolicity under certain conditions. We also establish that a semi-partially hyperbolic family possesses the bi-quasi-shadowing property.</div></div>\",\"PeriodicalId\":50147,\"journal\":{\"name\":\"Journal of Mathematical Analysis and Applications\",\"volume\":\"549 2\",\"pages\":\"Article 129550\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2025-04-02\",\"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/S0022247X25003312\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022247X25003312","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Bi-quasi-shadowing for semi-partially hyperbolic families
In this paper, we introduce the concept of a semi-partially hyperbolic family and prove that semi-partial hyperbolicity implies partial hyperbolicity under certain conditions. We also establish that a semi-partially hyperbolic family possesses the bi-quasi-shadowing property.
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.
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