Work

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

Year: 2022

Type: article

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.

Source: Journal of Mathematics

DOI: 10.1155/2022/2697155

Authors: Adel M. Al-Mahdi, Mohammad M. Al-Gharabli, Mohammad Kafini, Shadi Al-Omari

Institution: King Fahd University of Petroleum and Minerals

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,160

Funder: King Fahd University of Petroleum and Minerals