Results of the asymptotic behavior for a viscoelastic wave equation with nonlinear distributed delay and acoustic conditions in boundary feedback

This study is concerned with a nonlinear viscoelastic wave equation. Assuming the nonlinear distributed delay feedback influences the boundary coupling through the acoustic boundary conditions. Under suitable assumptions and for the general case of the kernel, we prove the asymptotic behavior of solutions.

Authors

Abdelbaki Choucha (ORCID: https://orcid.org/0000-0002-0969-8519)
Ayser Nasir Hassan Tahat (ORCID: https://orcid.org/0000-0002-0431-9698)
Rashid Jan (ORCID: https://orcid.org/0000-0001-9709-7045)
Salah Boulaaras (ORCID: https://orcid.org/0000-0003-1308-2159)

Institutions

Qassim University (SA)
University of Ghardaia (DZ)
Jerash University (JO)
Amar Telidji University of Laghouat (DZ)
Near East University (CY)
Universiti Tenaga Nasional (MY)

Publication Details

Journal: Journal of Inequalities and Applications
Published: 2024-12-12
DOI: https://doi.org/10.1186/s13660-024-03241-y
Primary Topic: Stability and Controllability of Differential Equations
Type: article
Field-Weighted Citation Impact: 0.00

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article

Results of the asymptotic behavior for a viscoelastic wave equation with nonlinear distributed delay and acoustic conditions in boundary feedback

Abdelbaki Choucha, Ayser Nasir Hassan Tahat, Rashid Jan, Salah Boulaaras

Dec 12, 2024

Journal of Inequalities and Applications

Stability and Controllability of Differential Equations

article

Results of the asymptotic behavior for a viscoelastic wave equation with nonlinear distributed delay and acoustic conditions in boundary feedback

Abdelbaki Choucha, Ayser Nasir Hassan Tahat, Rashid Jan, Salah Boulaaras

December 12, 2024article en

Abstract

This study is concerned with a nonlinear viscoelastic wave equation. Assuming the nonlinear distributed delay feedback influences the boundary coupling through the acoustic boundary conditions. Under suitable assumptions and for the general case of the kernel, we prove the asymptotic behavior of solutions.

Journal of Inequalities and ApplicationsVol. 2024(1)

Qassim University (SA), University of Ghardaia (DZ), Jerash University (JO), Amar Telidji University of Laghouat (DZ), Near East University (CY), Universiti Tenaga Nasional (MY)

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Stability and Controllability of Differential Equations

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Results of the asymptotic behavior for a viscoelastic wave equation with nonlinear distributed delay and acoustic conditions in boundary feedback — Abdelbaki Choucha, Ayser Nasir Hassan Tahat, et al. · Journal of Inequalities and Applications (2024) | TGRS Research Map | TGRS