Generalized solutions of initial-boundary value problems for a discontinuous wave equation in the case of equal impedances

DOI10.1134/S1064562409060295zbMath1183.35267MaRDI QIDQ845520

P. V. Luferenko, Vladimir Il'in

Publication date: 29 January 2010

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

zbMATH Keywords

generalized solutionscontinuous wave equationoscillations of a rod

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) PDEs with low regular coefficients and/or low regular data (35R05) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (3)

Investigation of the influence of parameters on the correctness of the conjugation problem for the Boussinesq - L¨ovedifferential equation ⋮ Study of a mixed problem describing the oscillations of a rod consisting of several segments with arbitrary lengths ⋮ BOUNDARY VALUE PROBLEMS FOR COMPOSITE TYPE EQUATIONS WITH A QUASIPARABOLIC OPERATOR IN THE LEADING PART HAVING THE VARIABLE DIRECTION OF EVOLUTION AND DISCONTINUOUS COEFFICIENTS

Cites Work

• Boundary control of oscillations at one endpoint with the other endpoint fixed in terms of a finite-energy generalized solution of the wave equation
• Two-endpoint boundary control of vibrations described by a finite-energy generalized solution of the wave equation

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