{"title":"具有傅里叶型热传导和分布延迟的柔性结构的指数稳定性","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":"{\"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}","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}
Exponential stability for a flexible structure with Fourier's type heat conduction and distributed delay
. 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.