{"title":"常时滞timoshenko系统的稳定性","authors":"I. Ouédraogo, G. Bayili","doi":"10.12732/ijam.v36i2.6","DOIUrl":null,"url":null,"abstract":": The aim of this work is to develop a detail analysis of a Timoshenko type beam model taking into account a delay. We prove the well-posedness and regularity of solution, explained using the theory of the Faedo-Galerkin scheme. Namely, under a suitable choice of Lyapunov functional, exponential decay of the whole energy holds","PeriodicalId":312472,"journal":{"name":"International Journal of Apllied Mathematics","volume":"52 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"STABILITY OF A TIMOSHENKO SYSTEM WITH CONSTANT DELAY\",\"authors\":\"I. Ouédraogo, G. Bayili\",\"doi\":\"10.12732/ijam.v36i2.6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\": The aim of this work is to develop a detail analysis of a Timoshenko type beam model taking into account a delay. We prove the well-posedness and regularity of solution, explained using the theory of the Faedo-Galerkin scheme. Namely, under a suitable choice of Lyapunov functional, exponential decay of the whole energy holds\",\"PeriodicalId\":312472,\"journal\":{\"name\":\"International Journal of Apllied Mathematics\",\"volume\":\"52 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-05-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Apllied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12732/ijam.v36i2.6\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Apllied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12732/ijam.v36i2.6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
STABILITY OF A TIMOSHENKO SYSTEM WITH CONSTANT DELAY
: The aim of this work is to develop a detail analysis of a Timoshenko type beam model taking into account a delay. We prove the well-posedness and regularity of solution, explained using the theory of the Faedo-Galerkin scheme. Namely, under a suitable choice of Lyapunov functional, exponential decay of the whole energy holds