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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. 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

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.

UDC: 517.938

Received: 05.10.2023



© Steklov Math. Inst. of RAS, 2024