Plate oscillations with mixed boundary conditions

DOI10.3103/s1066369x23030040OpenAlexW4384911840MaRDI QIDQ6047510

K. B. Sabitov

Publication date: 12 September 2023

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x23030040

zbMATH Keywords

stabilityexistenceinitial-boundary value problemuniquenessseries solutionenergy inequality

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Inverse problems of determining the right-hand side and the initial conditions for the beam vibration equation
• Initial-boundary value problems for the beam vibration equation with allowance for its rotational motion under bending
• Initial-boundary value problem for a nonlinear beam vibration equation
• A remark on the theory of initial-boundary value problems for the equation of rods and beams
• Cauchy problem for the beam vibration equation
• Колебания балки с заделанными концами
• On the vibrations of a clamped plate under tension
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