Coupled Lamé System with a Viscoelastic Term and a Strong Discrete Time Delays

Coupled Lamé System with a Viscoelastic Term and a Strong Discrete Time Delays

Year:    2024

Author:    Abderrahmane Beniani

Journal of Partial Differential Equations, Vol. 37 (2024), Iss. 2 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v37.n2.1

Journal of Partial Differential Equations, Vol. 37 (2024), Iss. 2 : pp. 121–134

Published online:    2024-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Lamé system coupled system Lyapunov function delay term.

Author Details

Abderrahmane Beniani