{"title":"Exponential stability for a flexible structure with Fourier's type heat conduction and distributed delay","authors":"M. Douib, S. Zitouni, A. Djebabla","doi":"10.7153/dea-2023-15-04","DOIUrl":null,"url":null,"abstract":". In this paper, we study the well-posedness and asymptotic behaviour of solutions to a fl exible structure with Fourier’s type heat conduction and distributed delay. We prove the well-posedness by using the semigroup theory. Also we establish a decay result by introducing a suitable Lyaponov functional.","PeriodicalId":179999,"journal":{"name":"Differential Equations & Applications","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Differential Equations & Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7153/dea-2023-15-04","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
. In this paper, we study the well-posedness and asymptotic behaviour of solutions to a fl exible structure with Fourier’s type heat conduction and distributed delay. We prove the well-posedness by using the semigroup theory. Also we establish a decay result by introducing a suitable Lyaponov functional.