General decay estimate for a two-dimensional plate equation with time-varying feedback and time-varying coefficient
In this paper, we consider a plate equation as a model for a suspension bridge with a general nonlinear internal feedback and time-varying weight. Under some conditions on the feedback and the coefficient functions, we establish a general decay estimate for the associated energy functional, from whi...
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2021
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oai:doaj.org-article:841dbe30efda423d9e64e634397336be2021-11-20T05:12:48ZGeneral decay estimate for a two-dimensional plate equation with time-varying feedback and time-varying coefficient2590-037410.1016/j.rinam.2021.100219https://doaj.org/article/841dbe30efda423d9e64e634397336be2021-11-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2590037421000522https://doaj.org/toc/2590-0374In this paper, we consider a plate equation as a model for a suspension bridge with a general nonlinear internal feedback and time-varying weight. Under some conditions on the feedback and the coefficient functions, we establish a general decay estimate for the associated energy functional, from which the exponential and the polynomial, are particular cases.Johnson D. AuduSoh Edwin MukiawaDilberto S. Almeida, JúniorElsevierarticleSuspension bridgePlate equationGeneral decayVarying-time weightInternal feedbackMathematicsQA1-939ENResults in Applied Mathematics, Vol 12, Iss , Pp 100219- (2021) |
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Suspension bridge Plate equation General decay Varying-time weight Internal feedback Mathematics QA1-939 |
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Suspension bridge Plate equation General decay Varying-time weight Internal feedback Mathematics QA1-939 Johnson D. Audu Soh Edwin Mukiawa Dilberto S. Almeida, Júnior General decay estimate for a two-dimensional plate equation with time-varying feedback and time-varying coefficient |
description |
In this paper, we consider a plate equation as a model for a suspension bridge with a general nonlinear internal feedback and time-varying weight. Under some conditions on the feedback and the coefficient functions, we establish a general decay estimate for the associated energy functional, from which the exponential and the polynomial, are particular cases. |
format |
article |
author |
Johnson D. Audu Soh Edwin Mukiawa Dilberto S. Almeida, Júnior |
author_facet |
Johnson D. Audu Soh Edwin Mukiawa Dilberto S. Almeida, Júnior |
author_sort |
Johnson D. Audu |
title |
General decay estimate for a two-dimensional plate equation with time-varying feedback and time-varying coefficient |
title_short |
General decay estimate for a two-dimensional plate equation with time-varying feedback and time-varying coefficient |
title_full |
General decay estimate for a two-dimensional plate equation with time-varying feedback and time-varying coefficient |
title_fullStr |
General decay estimate for a two-dimensional plate equation with time-varying feedback and time-varying coefficient |
title_full_unstemmed |
General decay estimate for a two-dimensional plate equation with time-varying feedback and time-varying coefficient |
title_sort |
general decay estimate for a two-dimensional plate equation with time-varying feedback and time-varying coefficient |
publisher |
Elsevier |
publishDate |
2021 |
url |
https://doaj.org/article/841dbe30efda423d9e64e634397336be |
work_keys_str_mv |
AT johnsondaudu generaldecayestimateforatwodimensionalplateequationwithtimevaryingfeedbackandtimevaryingcoefficient AT sohedwinmukiawa generaldecayestimateforatwodimensionalplateequationwithtimevaryingfeedbackandtimevaryingcoefficient AT dilbertosalmeidajunior generaldecayestimateforatwodimensionalplateequationwithtimevaryingfeedbackandtimevaryingcoefficient |
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