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

Author

Listed:
  • 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
    Energy and Intelligent Systems Laboratory, University of Khemis Miliana, Khemis Miliana 44225, Algeria
    Computer Science and Mathematics Laboratory, University of Laghouat, Laghouat 03000, Algeria)

  • Imene Laribi

    (Department of Mathematics, University of Khemis Miliana, Road of Theniet El-Had, Khemis Miliana 44225, Algeria
    Energy and Intelligent Systems Laboratory, University of Khemis Miliana, Khemis Miliana 44225, Algeria
    Computer Science and Mathematics Laboratory, University of Laghouat, Laghouat 03000, 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)

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.

Suggested Citation

  • Zineb Khalili & Djamel Ouchenane & Ali Krelifa & Imene Laribi & Salah Boulaaras & Ahmed Himadan Ahmed, 2024. "Existence and Stability Results for Thermodiffusion Laminated Beam System with Delay Feedback," Mathematics, MDPI, vol. 12(19), pages 1-22, October.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:19:p:3097-:d:1491556
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