Existence and Stability Results for Thermodiffusion Laminated Beam System with Delay Feedback
In this paper, a one-dimensional thermodiffusion laminated beam system with delay feedback is studied. The existence of a solution for our system is discussed within the context of the semigroup approach. In addition, under different boundary conditions, two results of stability properties independe...
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MDPI AG
2024-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/12/19/3097 |
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| author | Zineb Khalili Djamel Ouchenane Ali Krelifa Imene Laribi Salah Boulaaras Ahmed Himadan Ahmed |
| author_facet | Zineb Khalili Djamel Ouchenane Ali Krelifa Imene Laribi Salah Boulaaras Ahmed Himadan Ahmed |
| author_sort | Zineb Khalili |
| collection | DOAJ |
| description | In this paper, a one-dimensional thermodiffusion laminated beam system with delay feedback is studied. The existence of a solution for our system is discussed within the context of the semigroup approach. In addition, under different boundary conditions, two results of stability properties independent of initial data are investigated. |
| format | Article |
| id | doaj-art-89a331b568c6492c918d9b53f6c91e2f |
| institution | OA Journals |
| issn | 2227-7390 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-89a331b568c6492c918d9b53f6c91e2f2025-08-20T02:16:54ZengMDPI AGMathematics2227-73902024-10-011219309710.3390/math12193097Existence and Stability Results for Thermodiffusion Laminated Beam System with Delay FeedbackZineb Khalili0Djamel Ouchenane1Ali Krelifa2Imene Laribi3Salah Boulaaras4Ahmed Himadan Ahmed5Laboratory of Pure and Applied Mathematics, Amar Teledji Laghouat University, Laghouat 03000, AlgeriaLaboratory of Pure and Applied Mathematics, Amar Teledji Laghouat University, Laghouat 03000, AlgeriaDepartment of Mathematics, University of Khemis Miliana, Road of Theniet El-Had, Khemis Miliana 44225, AlgeriaDepartment of Mathematics, University of Khemis Miliana, Road of Theniet El-Had, Khemis Miliana 44225, AlgeriaDepartment of Mathematics, College of Sciences, Qassim University, Buraydah 51452, Saudi ArabiaDepartment of Mathematics, College of Sciences, Qassim University, Buraydah 51452, Saudi ArabiaIn this paper, a one-dimensional thermodiffusion laminated beam system with delay feedback is studied. The existence of a solution for our system is discussed within the context of the semigroup approach. In addition, under different boundary conditions, two results of stability properties independent of initial data are investigated.https://www.mdpi.com/2227-7390/12/19/3097laminated beamthermodiffusion effectsdelay feedbacksemigroup approachLyapunov functionsstability |
| spellingShingle | Zineb Khalili Djamel Ouchenane Ali Krelifa Imene Laribi Salah Boulaaras Ahmed Himadan Ahmed Existence and Stability Results for Thermodiffusion Laminated Beam System with Delay Feedback Mathematics laminated beam thermodiffusion effects delay feedback semigroup approach Lyapunov functions stability |
| title | Existence and Stability Results for Thermodiffusion Laminated Beam System with Delay Feedback |
| title_full | Existence and Stability Results for Thermodiffusion Laminated Beam System with Delay Feedback |
| title_fullStr | Existence and Stability Results for Thermodiffusion Laminated Beam System with Delay Feedback |
| title_full_unstemmed | Existence and Stability Results for Thermodiffusion Laminated Beam System with Delay Feedback |
| title_short | Existence and Stability Results for Thermodiffusion Laminated Beam System with Delay Feedback |
| title_sort | existence and stability results for thermodiffusion laminated beam system with delay feedback |
| topic | laminated beam thermodiffusion effects delay feedback semigroup approach Lyapunov functions stability |
| url | https://www.mdpi.com/2227-7390/12/19/3097 |
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