{"title":"Some Datko and Barbashin type characterizations for the uniform \\(h\\)-instability of evolution families","authors":"Tian Yue","doi":"10.3336/gm.57.2.07","DOIUrl":null,"url":null,"abstract":"The aim of this paper is to give some Datko and Barbashin type characterizations for the uniform \\(h\\)-instability of evolution families in Banach spaces, by using some important sets of growth rates. We prove four characterization theorems of Datko type and two characterization theorems of Barbashin type for uniform \\(h\\)-instability. Variants for uniform \\(h\\)-instability of some well-known results in stability theory (Barbashin (1967), Datko (1972)) are obtained.","PeriodicalId":55601,"journal":{"name":"Glasnik Matematicki","volume":"23 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Glasnik Matematicki","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3336/gm.57.2.07","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
The aim of this paper is to give some Datko and Barbashin type characterizations for the uniform \(h\)-instability of evolution families in Banach spaces, by using some important sets of growth rates. We prove four characterization theorems of Datko type and two characterization theorems of Barbashin type for uniform \(h\)-instability. Variants for uniform \(h\)-instability of some well-known results in stability theory (Barbashin (1967), Datko (1972)) are obtained.
期刊介绍：
Glasnik Matematicki publishes original research papers from all fields of pure and applied mathematics. The journal is published semiannually, in June and in December.
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