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General decay estimate for a two-dimensional plate equation with time-varying feedback and time-varying coefficient
Journal article   Open access  Peer reviewed

General decay estimate for a two-dimensional plate equation with time-varying feedback and time-varying coefficient

Johnson D. Audu, Soh Edwin Mukiawa and Dilberto S. Almeida Junior
Results in applied mathematics, Vol.12, p.100219
01/11/2021

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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. (C) 2021 The Author(s). Published by Elsevier B.V.
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https://doi.org/10.1016/j.rinam.2021.100219View
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