The problem of two-dimensional string vibrations with a nonlinear condition

DOI10.1134/S0012266123080049zbMath1526.74031OpenAlexW4387402545MaRDI QIDQ6050088

M. B. Zvereva

Publication date: 12 October 2023

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266123080049

zbMATH Keywords

existenceinitial-boundary value problemuniquenessboundary control problemsolution representation

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Vibrations in dynamical problems in solid mechanics (74H45) Strings (74K05) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

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• On a hyperbolic equation on a geometric graph with hysteresis type boundary conditions
• Optimization of boundary controls of string vibrations
• Two-endpoint boundary control of vibrations described by a finite-energy generalized solution of the wave equation

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