Factorized equation of vibrations of a finite string with nonstationary second directional derivatives at the endpoints

DOI10.1134/S0012266116060082zbMath1354.74093OpenAlexW2461188556WikidataQ115251281 ScholiaQ115251281MaRDI QIDQ311216

F. E. Lomovtsev, Evgenij N. Novikov

Publication date: 29 September 2016

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

Full work available at URL: https://doi.org/10.1134/s0012266116060082

zbMATH Keywords

existenceuniquenessmixed boundary conditionsone-dimensional evolution problemrecursive initial conditions

Mathematics Subject Classification ID

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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• Classical solution of a problem with an integral condition for the one-dimensional wave equation
• Mixed problem for the string vibration equation with a time-dependent oblique derivative in the boundary condition
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• Inhomogeneous factorized second-order hyperbolic equation in a quarter of the plane with a seminonstationary factorized second directional derivative in the boundary condition
• Optimization of boundary controls of string vibrations
• THE SOLVABILITY OF MIXED PROBLEMS FOR HYPERBOLIC AND PARABOLIC EQUATIONS

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