A Stability Result for a Viscoelastic Wave Equation in the Presence of Finite and Infinite Memories

Adel M. Al-Mahdi, Mohammad M. Al-Gharabli, Mohammad Kafini, Shadi Al-Omari and M. M. Bhatti

Journal of Mathematics, 2022, vol. 2022, 1-12

Abstract: In this study, we consider a viscoelastic wave equation in the presence of finite and infinite memories. Under suitable conditions on the variable coefficients and for a wide class of relaxation functions, we establish an explicit and general decay result. Moreover, we use a weaker boundedness condition, on the initial data than the one used in the literature. The proof of our decay result is based on the multiplier method together with some convexity arguments. This study generalizes and improves previous literature outcomes.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:2697155

DOI: 10.1155/2022/2697155

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