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On the relationship between Weyl functions of Jacobi matrices and response vectors for special dynamical systems with discrete time. / Mikhaylov, Alexander S.; Mikhaylov, Victor S.; Simonov, Sergey A.

In: Mathematical Methods in the Applied Sciences, Vol. 41, No. 16, 15.11.2018, p. 6401-6408.

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

Harvard

Mikhaylov, AS, Mikhaylov, VS & Simonov, SA 2018, 'On the relationship between Weyl functions of Jacobi matrices and response vectors for special dynamical systems with discrete time', Mathematical Methods in the Applied Sciences, vol. 41, no. 16, pp. 6401-6408. https://doi.org/10.1002/mma.5147

APA

Mikhaylov, A. S., Mikhaylov, V. S., & Simonov, S. A. (2018). On the relationship between Weyl functions of Jacobi matrices and response vectors for special dynamical systems with discrete time. Mathematical Methods in the Applied Sciences, 41(16), 6401-6408. https://doi.org/10.1002/mma.5147

Vancouver

Mikhaylov AS, Mikhaylov VS, Simonov SA. On the relationship between Weyl functions of Jacobi matrices and response vectors for special dynamical systems with discrete time. Mathematical Methods in the Applied Sciences. 2018 Nov 15;41(16):6401-6408. https://doi.org/10.1002/mma.5147

Author

Mikhaylov, Alexander S. ; Mikhaylov, Victor S. ; Simonov, Sergey A. / On the relationship between Weyl functions of Jacobi matrices and response vectors for special dynamical systems with discrete time. In: Mathematical Methods in the Applied Sciences. 2018 ; Vol. 41, No. 16. pp. 6401-6408.

BibTeX

@article{039ccd6613ac47ce81a95720ce6e092e,
title = "On the relationship between Weyl functions of Jacobi matrices and response vectors for special dynamical systems with discrete time",
abstract = "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.",
keywords = "Boundary control method, Jacobi matrices, Weyl function, boundary control method",
author = "Mikhaylov, {Alexander S.} and Mikhaylov, {Victor S.} and Simonov, {Sergey A.}",
year = "2018",
month = nov,
day = "15",
doi = "10.1002/mma.5147",
language = "English",
volume = "41",
pages = "6401--6408",
journal = "Mathematical Methods in the Applied Sciences",
issn = "0170-4214",
publisher = "Wiley-Blackwell",
number = "16",

}

RIS

TY - JOUR

T1 - On the relationship between Weyl functions of Jacobi matrices and response vectors for special dynamical systems with discrete time

AU - Mikhaylov, Alexander S.

AU - Mikhaylov, Victor S.

AU - Simonov, Sergey A.

PY - 2018/11/15

Y1 - 2018/11/15

N2 - 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.

AB - 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.

KW - Boundary control method

KW - Jacobi matrices

KW - Weyl function

KW - boundary control method

UR - http://www.scopus.com/inward/record.url?scp=85050480141&partnerID=8YFLogxK

U2 - 10.1002/mma.5147

DO - 10.1002/mma.5147

M3 - Article

AN - SCOPUS:85050480141

VL - 41

SP - 6401

EP - 6408

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

SN - 0170-4214

IS - 16

ER -

ID: 35180828