Standard

Conditions for Solvability of the Cauchy Problem for One Pseudohyperbolic System. / Bondar, L. N.; Mingnarov, S. B.

In: Computational Mathematics and Mathematical Physics, Vol. 64, No. 8, 26.09.2024, p. 1775-1784.

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

Harvard

Bondar, LN & Mingnarov, SB 2024, 'Conditions for Solvability of the Cauchy Problem for One Pseudohyperbolic System', Computational Mathematics and Mathematical Physics, vol. 64, no. 8, pp. 1775-1784. https://doi.org/10.1134/S096554252470091X

APA

Bondar, L. N., & Mingnarov, S. B. (2024). Conditions for Solvability of the Cauchy Problem for One Pseudohyperbolic System. Computational Mathematics and Mathematical Physics, 64(8), 1775-1784. https://doi.org/10.1134/S096554252470091X

Vancouver

Bondar LN, Mingnarov SB. Conditions for Solvability of the Cauchy Problem for One Pseudohyperbolic System. Computational Mathematics and Mathematical Physics. 2024 Sept 26;64(8):1775-1784. doi: 10.1134/S096554252470091X

Author

Bondar, L. N. ; Mingnarov, S. B. / Conditions for Solvability of the Cauchy Problem for One Pseudohyperbolic System. In: Computational Mathematics and Mathematical Physics. 2024 ; Vol. 64, No. 8. pp. 1775-1784.

BibTeX

@article{db7a987c6db34939a372c38b6ec59bcd,
title = "Conditions for Solvability of the Cauchy Problem for One Pseudohyperbolic System",
abstract = "The Cauchy problem for a system that is not solved for the highest time derivative is considered. This system is pseudohyperbolic. It describes transverse bending-torsional vibrations of an elastic rod. Solvability conditions for the Cauchy problem in Sobolev spaces are obtained, and the solution is estimated.",
keywords = "Cauchy problem, bending-torsional vibrations, pseudohyperbolic system, solvability c-onditions",
author = "Bondar, {L. N.} and Mingnarov, {S. B.}",
year = "2024",
month = sep,
day = "26",
doi = "10.1134/S096554252470091X",
language = "русский",
volume = "64",
pages = "1775--1784",
journal = "Computational Mathematics and Mathematical Physics",
issn = "0965-5425",
publisher = "PLEIADES PUBLISHING INC",
number = "8",

}

RIS

TY - JOUR

T1 - Conditions for Solvability of the Cauchy Problem for One Pseudohyperbolic System

AU - Bondar, L. N.

AU - Mingnarov, S. B.

PY - 2024/9/26

Y1 - 2024/9/26

N2 - The Cauchy problem for a system that is not solved for the highest time derivative is considered. This system is pseudohyperbolic. It describes transverse bending-torsional vibrations of an elastic rod. Solvability conditions for the Cauchy problem in Sobolev spaces are obtained, and the solution is estimated.

AB - The Cauchy problem for a system that is not solved for the highest time derivative is considered. This system is pseudohyperbolic. It describes transverse bending-torsional vibrations of an elastic rod. Solvability conditions for the Cauchy problem in Sobolev spaces are obtained, and the solution is estimated.

KW - Cauchy problem

KW - bending-torsional vibrations

KW - pseudohyperbolic system

KW - solvability c-onditions

UR - https://www.mendeley.com/catalogue/41e84316-cea6-32d8-8096-d4cf24899e48/

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85205389941&origin=inward&txGid=da3bbbb5cf5b64eba0741788fa09a70e

U2 - 10.1134/S096554252470091X

DO - 10.1134/S096554252470091X

M3 - статья

VL - 64

SP - 1775

EP - 1784

JO - Computational Mathematics and Mathematical Physics

JF - Computational Mathematics and Mathematical Physics

SN - 0965-5425

IS - 8

ER -

ID: 60817550