Standard

Forward and inverse dynamic problems for a Krein string. Approximation by point-mass densities. / Mikhaylov, Alexander S. ; Mikhaylov, Victor S. .

Proceedings of the International Conference Days on Diffraction 2019. ed. / O.V. Motygin; at al. Institute of Electrical and Electronics Engineers Inc., 2019. p. 125-130.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Mikhaylov, AS & Mikhaylov, VS 2019, Forward and inverse dynamic problems for a Krein string. Approximation by point-mass densities. in OV Motygin & at al. (eds), Proceedings of the International Conference Days on Diffraction 2019. Institute of Electrical and Electronics Engineers Inc., pp. 125-130, 2019 International Conference on Days on Diffraction, DD 2019, St. Petersburg, Russian Federation, 3/06/19. https://doi.org/10.1109/dd46733.2019.9016622

APA

Mikhaylov, A. S., & Mikhaylov, V. S. (2019). Forward and inverse dynamic problems for a Krein string. Approximation by point-mass densities. In O. V. Motygin, & at al. (Eds.), Proceedings of the International Conference Days on Diffraction 2019 (pp. 125-130). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/dd46733.2019.9016622

Vancouver

Mikhaylov AS, Mikhaylov VS. Forward and inverse dynamic problems for a Krein string. Approximation by point-mass densities. In Motygin OV, at al., editors, Proceedings of the International Conference Days on Diffraction 2019. Institute of Electrical and Electronics Engineers Inc. 2019. p. 125-130 https://doi.org/10.1109/dd46733.2019.9016622

Author

Mikhaylov, Alexander S. ; Mikhaylov, Victor S. . / Forward and inverse dynamic problems for a Krein string. Approximation by point-mass densities. Proceedings of the International Conference Days on Diffraction 2019. editor / O.V. Motygin ; at al. Institute of Electrical and Electronics Engineers Inc., 2019. pp. 125-130

BibTeX

@inproceedings{934a58ac10b54df58a15757d869a9d2a,
title = "Forward and inverse dynamic problems for a Krein string. Approximation by point-mass densities.",
abstract = "We consider a dynamic inverse problem for a dynamical system describing propagation of waves in a Krein string. We reduce the dynamical system to the integral equation and consider the important special case when the density of a string is given by a finite number of point masses distributed on the interval. We derive the Krein-type equation and solve the dynamic inverse problem in this particular case. We also consider the approximation of constant density by point-mass densities uniformly distributed on the interval and the effect of appearing of the finite speed of a wave propagation in the dynamical system.",
author = "Mikhaylov, {Alexander S.} and Mikhaylov, {Victor S.}",
year = "2019",
month = nov,
day = "1",
doi = "10.1109/dd46733.2019.9016622",
language = "English",
isbn = "9781728158389",
pages = "125--130",
editor = "Motygin, {O.V. } and {at al.}",
booktitle = "Proceedings of the International Conference Days on Diffraction 2019",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
address = "United States",
note = "2019 International Conference on Days on Diffraction, DD 2019 ; Conference date: 03-06-2019 Through 07-06-2019",
url = "http://www.pdmi.ras.ru/~dd/download/DD19_program.pdf",

}

RIS

TY - GEN

T1 - Forward and inverse dynamic problems for a Krein string. Approximation by point-mass densities.

AU - Mikhaylov, Alexander S.

AU - Mikhaylov, Victor S.

PY - 2019/11/1

Y1 - 2019/11/1

N2 - We consider a dynamic inverse problem for a dynamical system describing propagation of waves in a Krein string. We reduce the dynamical system to the integral equation and consider the important special case when the density of a string is given by a finite number of point masses distributed on the interval. We derive the Krein-type equation and solve the dynamic inverse problem in this particular case. We also consider the approximation of constant density by point-mass densities uniformly distributed on the interval and the effect of appearing of the finite speed of a wave propagation in the dynamical system.

AB - We consider a dynamic inverse problem for a dynamical system describing propagation of waves in a Krein string. We reduce the dynamical system to the integral equation and consider the important special case when the density of a string is given by a finite number of point masses distributed on the interval. We derive the Krein-type equation and solve the dynamic inverse problem in this particular case. We also consider the approximation of constant density by point-mass densities uniformly distributed on the interval and the effect of appearing of the finite speed of a wave propagation in the dynamical system.

U2 - 10.1109/dd46733.2019.9016622

DO - 10.1109/dd46733.2019.9016622

M3 - Conference contribution

SN - 9781728158389

SP - 125

EP - 130

BT - Proceedings of the International Conference Days on Diffraction 2019

A2 - Motygin, O.V.

A2 - at al.,

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2019 International Conference on Days on Diffraction, DD 2019

Y2 - 3 June 2019 through 7 June 2019

ER -

ID: 49629598