A. Y. Akinyele, Omotoni Ezekiel Jimoh, J. Omosowon, Liman Kinbokun Alhassan, K. A. Bello
{"title":"微扰理论生成单参数半群的结果","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":"{\"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}","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}
Results of a perturbation theory generating a one-parameter semigroup
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.