{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T00:56:13Z","timestamp":1760057773611,"version":"build-2065373602"},"reference-count":23,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2025,2,23]],"date-time":"2025-02-23T00:00:00Z","timestamp":1740268800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>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.<\/jats:p>","DOI":"10.3390\/axioms14030159","type":"journal-article","created":{"date-parts":[[2025,2,24]],"date-time":"2025-02-24T05:36:47Z","timestamp":1740375407000},"page":"159","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Exponential Stability for a Degenerate\/Singular Beam-Type Equation in Non-Divergence Form"],"prefix":"10.3390","volume":"14","author":[{"given":"Mohammad","family":"Akil","sequence":"first","affiliation":[{"name":"CERAMATHS-Laboratoire, INSA Hauts-de-France, University Polytechnique Hauts-de-France, F-59313 Valenciennes, France"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5436-7006","authenticated-orcid":false,"given":"Genni","family":"Fragnelli","sequence":"additional","affiliation":[{"name":"Dipartimento di Ingegneria dell\u2019Informazione e Scienze Matematiche, Universit\u00e0 degli Studi di Siena, Via Roma 56, 53100 Siena, Italy"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0639-4584","authenticated-orcid":false,"given":"Amine","family":"Sbai","sequence":"additional","affiliation":[{"name":"MISI Laboratory, Faculty of Sciences and Technology, Hassan First University of Settat, B.P. 577, Settat 26000, Morocco"}]}],"member":"1968","published-online":{"date-parts":[[2025,2,23]]},"reference":[{"key":"ref_1","first-page":"245","article-title":"Effects of Boundary Damping on Natural Frequencies in Bending Vibrations of Intelligent Vibrissa Tactile Systems","volume":"8","author":"Behn","year":"2015","journal-title":"Int. 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Control Theory"},{"key":"ref_11","first-page":"87","article-title":"Fourth-order differential operators with interior degeneracy and generalized Wentzell boundary conditions","volume":"2022","author":"Camasta","year":"2022","journal-title":"Electron. J. Differ. Equ."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"630","DOI":"10.1137\/23M1565668","article-title":"A stability result for a degenerate beam equation","volume":"62","author":"Camasta","year":"2024","journal-title":"SIAM J. Control Optim."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"2052","DOI":"10.1137\/15M1020538","article-title":"Control and stabilization of degenerate wave equations","volume":"55","author":"Cannarsa","year":"2017","journal-title":"SIAM J. 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