A GENERAL AND OPTIMAL DECAY RESULT FOR A VISCOELASTIC EQUATION WITH A STRONG TIME DEPENDENT DELAY
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Published:2022-06-30
Issue:3
Volume:13
Page:27-43
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ISSN:2217-3412
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Container-title:Journal of Mathematical Analysis
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language:
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Short-container-title:JMA
Author:
AL SULAIMANI HAMDAN,ANAYA KHALEEL,DENNIS ENYI CYRIL,EDWIN MUKIAWA SOH
Abstract
In this paper, we establish an optimal and general decay result for the energy of a viscoelastic equation exhibiting a strong time-dependent delay. This is achieved by considering a minimal condition on the relaxation function g. The exponential and polynomial decay rates are obtained as special cases.The theoretical computations are supported with a numerical analysis of the problem under consideration. This work extends and generalizes some recent results in the literature.
Publisher
ILIRIAS Research Institute