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Plate Oscillations with Mixed Boundary Conditions

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Abstract

In this paper problem with initial conditions for the equation of vibrations of a rectangular plate with mixed 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 to the problem in the classes of regular and generalized solutions are proven.

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Authors and Affiliations

  1. Institute of Mathematics with Computing Center, Ufa Federal Research Center, Russian Academy of Sciences, 450008, Ufa, Russia

    K. B. Sabitov

  2. Sterlitamak Branch, Ufa University of Science and Technology, 453103, Sterlitamak, Bashkortostan, Russia

    K. B. Sabitov

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  1. K. B. Sabitov
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Correspondence to K. B. Sabitov.

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Sabitov, K.B. Plate Oscillations with Mixed Boundary Conditions. Russ Math. 67, 53–65 (2023). https://doi.org/10.3103/S1066369X23030040

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  • DOI: https://doi.org/10.3103/S1066369X23030040

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