Existence and Stability Results for Thermodiffusion Laminated Beam System with Delay Feedback

Zineb Khalili, Djamel Ouchenane, Ali Krelifa, Imene Laribi, Salah Boulaaras () and Ahmed Himadan Ahmed
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Zineb Khalili: Laboratory of Pure and Applied Mathematics, Amar Teledji Laghouat University, Laghouat 03000, Algeria
Djamel Ouchenane: Laboratory of Pure and Applied Mathematics, Amar Teledji Laghouat University, Laghouat 03000, Algeria
Ali Krelifa: Department of Mathematics, University of Khemis Miliana, Road of Theniet El-Had, Khemis Miliana 44225, Algeria
Imene Laribi: Department of Mathematics, University of Khemis Miliana, Road of Theniet El-Had, Khemis Miliana 44225, Algeria
Salah Boulaaras: Department of Mathematics, College of Sciences, Qassim University, Buraydah 51452, Saudi Arabia
Ahmed Himadan Ahmed: Department of Mathematics, College of Sciences, Qassim University, Buraydah 51452, Saudi Arabia

Mathematics, 2024, vol. 12, issue 19, 1-22

Abstract: 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.

Keywords: laminated beam; thermodiffusion effects; delay feedback; semigroup approach; Lyapunov functions; stability; partial differential equations; nonlinear equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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