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On the stabilization of laminated beams with delay

Of concern in this paper is the laminated beam system with frictional damping and an internal constant delay term in the transverse displacement. Under suitable assumptions on the weight of the delay, we establish that the system’s energy decays exponentially in the case of equal wave speeds of prop...

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Main Authors: Mpungu, Kassimu, Apalara, Tijani A., Muminov, Mukhiddin
Format: Article
Published: Springer Science and Business Media Deutschland GmbH 2021
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/97690/
http://dx.doi.org/10.21136/AM.2021.0056-20
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spelling my.utm.976902022-10-27T02:11:36Z http://eprints.utm.my/id/eprint/97690/ On the stabilization of laminated beams with delay Mpungu, Kassimu Apalara, Tijani A. Muminov, Mukhiddin QA Mathematics Of concern in this paper is the laminated beam system with frictional damping and an internal constant delay term in the transverse displacement. Under suitable assumptions on the weight of the delay, we establish that the system’s energy decays exponentially in the case of equal wave speeds of propagation, and polynomially in the case of non-equal wave speeds. Springer Science and Business Media Deutschland GmbH 2021 Article PeerReviewed Mpungu, Kassimu and Apalara, Tijani A. and Muminov, Mukhiddin (2021) On the stabilization of laminated beams with delay. Applications of Mathematics, 66 (5). pp. 789-812. ISSN 0862-7940 http://dx.doi.org/10.21136/AM.2021.0056-20 DOI : 10.21136/AM.2021.0056-20
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Mpungu, Kassimu
Apalara, Tijani A.
Muminov, Mukhiddin
On the stabilization of laminated beams with delay
description Of concern in this paper is the laminated beam system with frictional damping and an internal constant delay term in the transverse displacement. Under suitable assumptions on the weight of the delay, we establish that the system’s energy decays exponentially in the case of equal wave speeds of propagation, and polynomially in the case of non-equal wave speeds.
format Article
author Mpungu, Kassimu
Apalara, Tijani A.
Muminov, Mukhiddin
author_facet Mpungu, Kassimu
Apalara, Tijani A.
Muminov, Mukhiddin
author_sort Mpungu, Kassimu
title On the stabilization of laminated beams with delay
title_short On the stabilization of laminated beams with delay
title_full On the stabilization of laminated beams with delay
title_fullStr On the stabilization of laminated beams with delay
title_full_unstemmed On the stabilization of laminated beams with delay
title_sort on the stabilization of laminated beams with delay
publisher Springer Science and Business Media Deutschland GmbH
publishDate 2021
url http://eprints.utm.my/id/eprint/97690/
http://dx.doi.org/10.21136/AM.2021.0056-20
_version_ 1748180494621605888
score 13.211869

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