Necessary and sufficient conditions for the vibrations of a bounded string with directional derivatives in the boundary conditions

DOI10.1134/S0012266114010170zbMath1304.35675OpenAlexW1994810766MaRDI QIDQ2251841

Publication date: 15 July 2014

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

Full work available at URL: https://doi.org/10.1134/s0012266114010170

zbMATH Keywords

vibration mixed problem string closed-form expression derivatives and time-dependent coefficients initial and boundary data

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Strings (74K05) PDEs in connection with mechanics of deformable solids (35Q74) Mixed-type systems of PDEs (35M30)

Related Items (5)

Boundary control of forced string vibrations by first directional derivatives on a short time interval ⋮ Optimal feedback control for a class of second-order evolution differential inclusions with Clarke’s subdifferential ⋮ Factorized equation of vibrations of a finite string with nonstationary second directional derivatives at the endpoints ⋮ Directional derivative problem for the telegraph equation with a Dirac potential ⋮ Solution of a mixed problem with oblique derivatives in the boundary conditions for the inhomogeneous string vibration equation without continuing the data

Cites Work

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