The identification of external force dynamics in the modeling of vibration

zbMath1377.35286MaRDI QIDQ2628561

Alena Ivanovna Dregleya, Nikolay Aleksandrovich Sidorov

Publication date: 2 June 2017

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://isu.ru/journal/downloadArticle?article=_5132d2674c6f4a81bab777ca8a4bed77&lang=rus

zbMATH Keywords

Laplace transformresolventwave equationnonlocal boundary conditionsFourier serieshyperbolic equationVolterra equationintegral observationsidentification of an external forceinitial and boundary problems

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Inverse problems for PDEs (35R30) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

On the occasion of the 80th birthday of Professor N. A. Sidorov

Cites Work

• Lavrentiev regularization of integral equations of the first kind in the space of continuous functions
• The inverse problem of determining the lower-order coefficient in parabolic equations with integral observation
• Two inverse problems of finding a coefficient in a parabolic equation
• Inverse problems of the determination of the coefficient in parabolic equations. I
• On inverse problems of determining a coefficient in a parabolic equation. II
• A nonlinear loaded parabolic equation and a related inverse problem
• Optimization of boundary controls of string vibrations
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