Viscoelastic plate equation with boundary feedback

Muhammad I. Mustafa

doi:10.3934/eect.2017014

Article Contents

2017, Volume 6, Issue 2: 261-276. Doi: 10.3934/eect.2017014

This issue Previous Article General decay for a viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping, dynamic boundary conditions and a time-varying delay term Next Article Periodic solutions for time-dependent subdifferential evolution inclusions

Viscoelastic plate equation with boundary feedback

Muhammad I. Mustafa

Department of Mathematics -University of Sharjah, P.O. Box 27272, Sharjah, United Arab Emirates

Received: February 29, 2016

Revised: September 30, 2016

Published: May 2017

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Abstract

In this paper we consider a viscoelastic plate equation with a nonlinear weakly dissipative feedback localized on a part of the boundary. Without imposing restrictive assumptions on the boundary frictional damping, we establish an explicit and general decay rate result that allows a wider class of relaxation functions and generalizes previous results existing in the literature.

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Mathematics Subject Classification: Primary: 35B40, 74D99, 93D15; Secondary: 93D20.

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