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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| Format: | Article |
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Springer Science and Business Media Deutschland GmbH
2021
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| _version_ | 1796866472479293440 |
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| author | Mpungu, Kassimu Apalara, Tijani A. Muminov, Mukhiddin |
| author_facet | Mpungu, Kassimu Apalara, Tijani A. Muminov, Mukhiddin |
| author_sort | Mpungu, Kassimu |
| collection | ePrints |
| 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. |
| first_indexed | 2024-03-05T21:12:40Z |
| format | Article |
| id | utm.eprints-97690 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T21:12:40Z |
| publishDate | 2021 |
| publisher | Springer Science and Business Media Deutschland GmbH |
| record_format | dspace |
| spelling | utm.eprints-976902022-10-27T02:11:36Z http://eprints.utm.my/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 |
| spellingShingle | QA Mathematics Mpungu, Kassimu Apalara, Tijani A. Muminov, Mukhiddin On the stabilization of laminated beams with delay |
| title | 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_short | On the stabilization of laminated beams with delay |
| title_sort | on the stabilization of laminated beams with delay |
| topic | QA Mathematics |
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