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

Johnson D. Audu; Soh Edwin Mukiawa; Dilberto S. Almeida

doi:10.1016/j.rinam.2021.100219

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

Johnson D. Audu^*
, Soh Edwin Mukiawa
, Dilberto S. Almeida

^*Corresponding author for this work

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Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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.

Original language	English
Article number	100219
Journal	Results in Applied Mathematics
Volume	12
DOIs	https://doi.org/10.1016/j.rinam.2021.100219
State	Published - Nov 2021

Bibliographical note

Publisher Copyright:
© 2021 The Author(s)

Keywords

General decay
Internal feedback
Plate equation
Suspension bridge
Varying-time weight

ASJC Scopus subject areas

Applied Mathematics

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10.1016/j.rinam.2021.100219

Cite this

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

abstract = "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.",

keywords = "General decay, Internal feedback, Plate equation, Suspension bridge, Varying-time weight",

author = "Audu, \{Johnson D.\} and Mukiawa, \{Soh Edwin\} and Almeida, \{Dilberto S.\}",

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year = "2021",

month = nov,

doi = "10.1016/j.rinam.2021.100219",

language = "English",

volume = "12",

journal = "Results in Applied Mathematics",

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T1 - General decay estimate for a two-dimensional plate equation with time-varying feedback and time-varying coefficient

AU - Audu, Johnson D.

AU - Mukiawa, Soh Edwin

AU - Almeida, Dilberto S.

PY - 2021/11

Y1 - 2021/11

N2 - 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.

AB - 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.

KW - General decay

KW - Internal feedback

KW - Plate equation

KW - Suspension bridge

KW - Varying-time weight

UR - https://www.scopus.com/pages/publications/85119297153

U2 - 10.1016/j.rinam.2021.100219

DO - 10.1016/j.rinam.2021.100219

M3 - Article

AN - SCOPUS:85119297153

SN - 2590-0374

VL - 12

JO - Results in Applied Mathematics

JF - Results in Applied Mathematics

M1 - 100219

ER -

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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