Exponential Stability for a Degenerate/Singular Beam-Type Equation in Non-Divergence Form
The paper deals with the stability of a degenerate/singular beam equation in non-divergence form. In particular, we assume that the degeneracy and the singularity are at the same boundary point and we impose clamped conditions where the degeneracy occurs and dissipative conditions at the other endpoint. Using the energy method, we provide some conditions to obtain the stability for the considered problem.
Authors
- Mohammad Akil (ORCID: https://orcid.org/0000-0002-2994-5337)
- Amine Sbai (ORCID: https://orcid.org/0000-0003-0639-4584)
- Genni Fragnelli (ORCID: https://orcid.org/0000-0002-5436-7006)
Institutions
- University of Siena (IT)
- Université Hassan 1er (MA)
- Université Polytechnique Hauts-de-France (FR)
Publication Details
- Journal
- Axioms
- Published
- 2025-02-23
- DOI
- https://doi.org/10.3390/axioms14030159
- Primary Topic
- Differential Equations and Numerical Methods
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"