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A GENERAL AND OPTIMAL DECAY RESULT FOR A VISCOELASTIC EQUATION WITH A STRONG TIME DEPENDENT DELAY
Journal article   Open access

A GENERAL AND OPTIMAL DECAY RESULT FOR A VISCOELASTIC EQUATION WITH A STRONG TIME DEPENDENT DELAY

Hamdan Al Sulaimani, Khaleel Anaya, Cyril Dennis Enyi and Soh Edwin Mukiawa
Journal of mathematical analysis, Vol.13(3), pp.27-43
01/01/2022

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.
url
https://doi.org/10.54379/JMA-2022-3-3View
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