A. Y. Akinyele, Omotoni Ezekiel Jimoh, J. Omosowon, Liman Kinbokun Alhassan, K. A. Bello
{"title":"Results of a perturbation theory generating a one-parameter semigroup","authors":"A. Y. Akinyele, Omotoni Ezekiel Jimoh, J. Omosowon, Liman Kinbokun Alhassan, K. A. Bello","doi":"10.30538/psrp-oma2022.0102","DOIUrl":null,"url":null,"abstract":"This paper consists of the results about \\(\\omega\\)-order preserving partial contraction mapping using perturbation theory to generate a one-parameter semigroup. We show that adding a bounded linear operator \\(B\\) to an infinitesimal generator \\(A\\) of a semigroup of the linear operator does not destroy A's property. Furthermore, \\(A\\) is the generator of a one-parameter semigroup, and \\(B\\) is a small perturbation so that \\(A+B\\) is also the generator of a one-parameter semigroup.","PeriodicalId":52741,"journal":{"name":"Open Journal of Mathematical Analysis","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Open Journal of Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30538/psrp-oma2022.0102","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
This paper consists of the results about \(\omega\)-order preserving partial contraction mapping using perturbation theory to generate a one-parameter semigroup. We show that adding a bounded linear operator \(B\) to an infinitesimal generator \(A\) of a semigroup of the linear operator does not destroy A's property. Furthermore, \(A\) is the generator of a one-parameter semigroup, and \(B\) is a small perturbation so that \(A+B\) is also the generator of a one-parameter semigroup.