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Boundary stabilization of an Euler-Bernoulli beam with axial force and internal delay
Ben Bakary J · 2026-05-26 · via math updates on arXiv.org

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Abstract:This paper investigates the boundary stabilization of an Euler-Bernoulli beam under constant axial tension and subject to an internal time-delay. First, the well-posedness of the system is established using semigroup of linear operators theory. Then, by constructing an adequate Lyapunov functional, we establish the exponential stability of the system within a region of the $(\alpha, \xi)$-plane, explicitly characterized by a system of inequalities involving the physical parameters. This work extends the results of Han et al. (Journal of Difference Equations, 2016) by incorporating the effect of axial tension and an internal delay term without sign constraints.
Subjects: Analysis of PDEs (math.AP)
MSC classes: 35B40, 93D15, 47D06, 35Q74
Cite as: arXiv:2605.24315 [math.AP]
  (or arXiv:2605.24315v1 [math.AP] for this version)
  https://doi.org/10.48550/arXiv.2605.24315

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Ben Bakary Junior Siriki [view email]
[v1] Sat, 23 May 2026 00:46:00 UTC (24 KB)