On the time decay for a thermoelastic laminated beam with microtemperature effects, nonlinear weight, and nonlinear time-varying delay-Reference-Cited by-同舟云学术

On the time decay for a thermoelastic laminated beam with microtemperature effects, nonlinear weight, and nonlinear time-varying delay

Published:2023 Issue:11 Volume:8 Page:26096-26114
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Djeradi Fatima Siham¹,Yazid Fares¹,Georgiev Svetlin G.²,Hajjej Zayd³,Zennir Khaled⁴

Affiliation:

1. Laboratory of Pure and Applied Mathematics, Amar Teledji University, Laghouat 03000, Algeria

2. Department of Mathematics, Sorbonne University, Paris, France

3. Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

4. Laboratoire de Mathématiques Appliquées et de Modélisation, Université 8 Mai 1945 Guelma. B.P. 401 Guelma 24000, Algeria

Abstract

<abstract><p>This article examines the joint impacts of microtemperature, nonlinear structural damping, along with nonlinear time-varying delay term, and time-varying coefficient on a thermoelastic laminated beam, where, the equation representing the dynamics of slip is affected by the last three mentioned terms. A general decay result was established regarding the system concerned given equal wave speeds and particular assumptions related to nonlinear terms.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference18 articles.

1. H. Suh, Z. Bien, Use of time-delay actions in the controller design, IEEE Trans. Automat. Contr., 25 (1980), 600–603. https://doi.org/10.1109/TAC.1980.1102347

2. S. E. Mukiawa, C. D. Enyi, S. A. Messaoudi, Stability of thermoelastic Timoshenko beam with suspenders and time-varying feedback, Adv. Contin. Discret. Models, 2023 (2023), 7. https://doi.org/10.1186/s13662-023-03752-w

3. J. M. Wang, G. Q. Xu, S. P. Yung, Exponential stabilization of laminated beams with structural damping and boundary feedback controls, SIAM J. Control Optim., 44 (2005), 1575–1597. https://doi.org/10.1137/040610003

4. N. E. Tatar, Stabilization of a laminated beam with interfacial slip by boundary controls, Bound. Value Probl., 2015 (2015), 169. https://doi.org/10.1186/s13661-015-0432-3

5. H. E. Khochemane, Exponential stability for a thermoelastic porous system with microtemperature effects, Acta Appl. Math., 173 (2021), 8. https://doi.org/10.1007/s10440-021-00418-1

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Analysis of thermoelastic laminated Timoshenko beam with time-varying delay;Partial Differential Equations in Applied Mathematics;2024-03

2. Decay for thermoelastic laminated beam with nonlinear delay and nonlinear structural damping;AIMS Mathematics;2024

3. General Stability for the Viscoelastic Wave Equation with Nonlinear Time-Varying Delay, Nonlinear Damping and Acoustic Boundary Conditions;Mathematics;2023-11-09