AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (249.3 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Decay for thermoelastic laminated beam with nonlinear delay and nonlinear structural damping

Hicham Saber1, Fares Yazid2, Fatima Siham Djeradi2, Mohamed Bouye3( ), Khaled Zennir4,5
Department of Mathematics, College of Sciences, University of Ha'il, Ha'il 55473, Saudi Arabia
Laboratory of pure and applied Mathematics, Amar Teledji University, Laghouat 03000, Algeria
Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia
Department of Mathematics, College of Science, Qassim University, Saudi Arabia
Department of Mathematics, Faculty of Sciences, University of 20 Août 1955- Skikda, Algeria
Show Author Information

Abstract

This paper discussed the decay of a thermoelastic laminated beam subjected to nonlinear delay and nonlinear structural damping. We provided explicit and general energy decay rates of the solution by imposing suitable conditions on both weight delay and wave speeds. To achieve this, we leveraged the properties of convex functions and employed the multiplier technique as a specific approach to demonstrate our stability results.

Keywords

Laminated beamLyapunov functionsnonlinear dampinggeneral decaynonlinear delaypartial differential equations
CLC number: 35B40, 35L56, 74F05, 93D15, 93D20

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 9 Issue 3,
March 2024
Pages 6916-6932
DOI: 10.3934/math.2024337

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Saber H, Yazid F, Djeradi FS, et al. Decay for thermoelastic laminated beam with nonlinear delay and nonlinear structural damping. AIMS Mathematics, 2024, 9(3): 6916-6932. https://doi.org/10.3934/math.2024337

80

Views

1

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 10 December 2023
Revised: 29 January 2024
Accepted: 08 February 2024
Published: 15 March 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)