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Volume 37, Issue 2
Coupled Lamé System with a Viscoelastic Term and a Strong Discrete Time Delays

Abderrahmane Beniani

DOI: 10.4208/jpde.v37.n2.1

J. Part. Diff. Eq., 37 (2024), pp. 121-134.

Published online: 2024-06

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  • Abstract

In this paper, we consider a coupled Lamé system with a viscoelastic damping in the first equation and two strong discrete time delays. We prove its existence by using the Faedo-Galerkin method and establish an exponential decay result by introducing a suitable Lyapunov functional.

  • Keywords

Lamé system, coupled system, Lyapunov function, delay term.

  • AMS Subject Headings

35L05, 74D05, 37B25, 35B35

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-37-121, author = {Beniani , Abderrahmane}, title = {Coupled Lamé System with a Viscoelastic Term and a Strong Discrete Time Delays}, journal = {Journal of Partial Differential Equations}, year = {2024}, volume = {37}, number = {2}, pages = {121--134}, abstract = {

In this paper, we consider a coupled Lamé system with a viscoelastic damping in the first equation and two strong discrete time delays. We prove its existence by using the Faedo-Galerkin method and establish an exponential decay result by introducing a suitable Lyapunov functional.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v37.n2.1}, url = {http://global-sci.org/intro/article_detail/jpde/23204.html} }
TY - JOUR T1 - Coupled Lamé System with a Viscoelastic Term and a Strong Discrete Time Delays AU - Beniani , Abderrahmane JO - Journal of Partial Differential Equations VL - 2 SP - 121 EP - 134 PY - 2024 DA - 2024/06 SN - 37 DO - http://doi.org/10.4208/jpde.v37.n2.1 UR - https://global-sci.org/intro/article_detail/jpde/23204.html KW - Lamé system, coupled system, Lyapunov function, delay term. AB -

In this paper, we consider a coupled Lamé system with a viscoelastic damping in the first equation and two strong discrete time delays. We prove its existence by using the Faedo-Galerkin method and establish an exponential decay result by introducing a suitable Lyapunov functional.

Abderrahmane Beniani. (2024). Coupled Lamé System with a Viscoelastic Term and a Strong Discrete Time Delays. Journal of Partial Differential Equations. 37 (2). 121-134. doi:10.4208/jpde.v37.n2.1
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