Geodesic
Plate oscillations with mixed boundary conditions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2023), pp. 63-77

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In this paper problem with initial conditions for the equation of vibrations of a rectangular plate with boundary conditions is investigated. An energy inequality is established, which implies the uniqueness of the solution of the initial-boundary value problem. Existence and stability theorems for the solution of the problem in the classes of regular and generalized solutions are proved.
Keywords: equation of vibrations of a rectangular plate, initial boundary value problem, energy inequality, uniqueness, series, stability.
Mots-clés : existence 
@article{IVM_2023_3_a5,
     author = {K. B. Sabitov},
     title = {Plate oscillations with mixed boundary conditions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {63--77},
     publisher = {mathdoc},
     number = {3},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2023_3_a5/}
}
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K. B. Sabitov. Plate oscillations with mixed boundary conditions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2023), pp. 63-77. http://geodesic.mathdoc.fr/item/IVM_2023_3_a5/