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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2012 Volume 52, Number 9, Pages 1614–1620 (Mi zvmmf9731)

Boundary observability of elastic vibrations in a system of sequentially connected strings

A. I. Egorov, L. N. Znamenskaya

Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700 Russia

Abstract: The observability problem for the elastic vibrations of a system consisting of sequentially connected objects with distributed parameters is solved. An object with lumped parameters is connected to the system. The initial state of the system is recovered from observations on its boundary and at the connection point of the objects with distributed and lumped parameters.

Key words: system with distributed and lumped parameters, wave equation, observability of elastic vibrations.

UDC: 519.926

Received: 08.12.2011


 English version:
Computational Mathematics and Mathematical Physics, 2012, 52:9, 1233–1238

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© Steklov Math. Inst. of RAS, 2025