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Exponential decay in a delayed wave equation with variable coefficients

Waled Al-Khulaifi, Manal Alotibi, Nasser-Eddine Tatar

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Source: Crossref

Published: Jan 1, 2024

DOI: 10.3934/math.20241348

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Source abstract

<p>We establish an exponential stability result for a wave equation that includes weighted coefficients of structural damping and a delayed term. This study reveals cases where the delayed term may not be dominated by the damping term, yet the system is exponentially stable. Our coefficients do not obey necessarily the conditions that are usually imposed in the literature.</p>

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Exponential decay in a delayed wave equation with variable coefficients — Mathematical Frontier Network