Stabilization of a degenerate Euler-Bernoulli beam model under boundary time-delayed damping

In this paper, we consider a degenerate beam equation that is stabilized with a boundary damping subjected to a time-delay. At first, by means of the semigroup theory, we prove that the considered system is well-posed in suitable weighted spaces. Thereafter, sufficient conditions are proposed in order to ensure that the energy of the system decays exponentially to zero with an explicit and precise decay rate estimate. Our method of proof relies essentially on the construction of a specific Lyapunov functional. Supplementary Material File (salhi2025_mmas.pdf) - Download - 299.42 KB Information & Authors Information Version history Copyright This work is licensed under a Non Exclusive No Reuse License.

Authors Metrics & Citations Metrics Article Usage 279views 135downloads Citations Download citation Jawad Salhi, Mohamed Azzaoui, MOUHCINE TILIOUA. Stabilization of a degenerate Euler-Bernoulli beam model under boundary time-delayed damping. Authorea. 01 May 2025. DOI: https://doi.org/10.22541/au.174612075.54943722/v1 DOI: https://doi.org/10.22541/au.174612075.54943722/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu.