On the relationship between Weyl functions of Jacobi matrices and response vectors for special dynamical systems with discrete time

Research output: Contribution to journal › Article › peer-review

Department of Mathematical Physics
Department of Higher Mathematics and Mathematical Physics
Department of Mathematical Linguistics

Overview
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DOI

https://doi.org/10.1002/mma.5147
Final published version

Alexander S. Mikhaylov
Victor S. Mikhaylov
Sergey A. Simonov

We derive special representation for Weyl functions for finite and semi-infinite Jacobi matrices with bounded entries based on a relationship between spectral problem for Jacobi matrices and initial-boundary value problem for auxiliary dynamical systems with the discrete time.

Original language	English
Pages (from-to)	6401-6408
Number of pages	8
Journal	Mathematical Methods in the Applied Sciences
Volume	41
Issue number	16
DOIs	https://doi.org/10.1002/mma.5147
State	Published - 15 Nov 2018

Scopus subject areas

Engineering(all)
Mathematics(all)

Research areas

Boundary control method, Jacobi matrices, Weyl function, boundary control method

ID: 35180828