Asymptotic behaviour of nonlinear viscoelastic wave equations with boundary feedback

In this study, we investigate a nonlinear viscoelastic wave equation subject to acoustic boundary conditions and a nonlinear distributed delay feedback acting on the boundary. The asymptotic behaviour of solutions is analysed by considering a general kernel formulation and imposing suitable assumptions.

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Publication Details

Journal
Applied Mathematics in Science and Engineering
Published
2025-03-19
DOI
https://doi.org/10.1080/27690911.2025.2478039
Primary Topic
Stability and Controllability of Differential Equations
Type
article
Field-Weighted Citation Impact
0.00

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article

Asymptotic behaviour of nonlinear viscoelastic wave equations with boundary feedback

Abdelbaki Choucha, Rashid Jan, Salah Boulaaras, Khaled Mahdi et al.
Applied Mathematics in Science and Engineering
Stability and Controllability of Differential Equations
article

Asymptotic behaviour of nonlinear viscoelastic wave equations with boundary feedback

Abdelbaki Choucha, Rashid Jan, Salah Boulaaras, Khaled Mahdi, Taha Radwan
article en

Abstract

In this study, we investigate a nonlinear viscoelastic wave equation subject to acoustic boundary conditions and a nonlinear distributed delay feedback acting on the boundary. The asymptotic behaviour of solutions is analysed by considering a general kernel formulation and imposing suitable assumptions.

Applied Mathematics in Science and EngineeringVol. 33(1)
Qassim University (SA), University of Ghardaia (DZ), University Mohamed Boudiaf of M'sila (DZ), Amar Telidji University of Laghouat (DZ), Near East University (CY), Universiti Tenaga Nasional (MY)
Qassim University
Climate action
Openalex Percentile: Top 95%
Stability and Controllability of Differential Equations
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