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Zapiski Nauchnykh Seminarov POMI, 2023, Volume 521, Pages 136–153 (Mi znsl7328)  
Dynamic inverse problem for complex Jacobi matrices

A. S. Mikhailovab, V. S. Mikhailovb

a Saint Petersburg State University
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
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Abstract: We consider the dynamic inverse problem for a dynamical system with discrete time associated with a semi-infinite complex Jacobi matrix. We propose two approaches of recovering coefficients from dynamic response operator and provide a characterization of dynamic inverse data.
Key words and phrases: inverse problem, Jacobi matrices, boundary control method, characterization of inverse data.
Received: 05.10.2023
Document Type: Article
UDC: 517.938
Language: Russian
Citation: A. S. Mikhailov, V. S. Mikhailov, “Dynamic inverse problem for complex Jacobi matrices”, Mathematical problems in the theory of wave propagation. Part 53, Zap. Nauchn. Sem. POMI, 521, POMI, St. Petersburg, 2023, 136–153
Citation in format AMSBIB
\Bibitem{MikMik23}
\by A.~S.~Mikhailov, V.~S.~Mikhailov
\paper Dynamic inverse problem for complex Jacobi matrices
\inbook Mathematical problems in the theory of wave propagation. Part~53
\serial Zap. Nauchn. Sem. POMI
\yr 2023
\vol 521
\pages 136--153
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7328}
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