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Necessary Conditions for Existence of Solutions of a Certain Pseudohyperbolic System of Equations. / Bondar, L. N.; Mingnarov, S. B.

In: Siberian Advances in Mathematics, Vol. 34, No. 3, 18.09.2024, p. 187-195.

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

Harvard

Bondar, LN & Mingnarov, SB 2024, 'Necessary Conditions for Existence of Solutions of a Certain Pseudohyperbolic System of Equations', Siberian Advances in Mathematics, vol. 34, no. 3, pp. 187-195. https://doi.org/10.1134/S1055134424030027

APA

Bondar, L. N., & Mingnarov, S. B. (2024). Necessary Conditions for Existence of Solutions of a Certain Pseudohyperbolic System of Equations. Siberian Advances in Mathematics, 34(3), 187-195. https://doi.org/10.1134/S1055134424030027

Vancouver

Bondar LN, Mingnarov SB. Necessary Conditions for Existence of Solutions of a Certain Pseudohyperbolic System of Equations. Siberian Advances in Mathematics. 2024 Sept 18;34(3):187-195. doi: 10.1134/S1055134424030027

Author

Bondar, L. N. ; Mingnarov, S. B. / Necessary Conditions for Existence of Solutions of a Certain Pseudohyperbolic System of Equations. In: Siberian Advances in Mathematics. 2024 ; Vol. 34, No. 3. pp. 187-195.

BibTeX

@article{d833c7b523a7422cb966a482b64f77f9,
title = "Necessary Conditions for Existence of Solutions of a Certain Pseudohyperbolic System of Equations",
abstract = "In the present article, we consider the Cauchy problem for a pseudohyperbolic system that arises in modeling flexural-torsional vibrations of an elastic rod. For the function on the right-hand side of the system, we suggest necessary conditions for existence of a solution of the Cauchy problem in the Sobolev space with exponential weight.",
keywords = "Cauchy problem, anisotropic Sobolev space, necessary conditions for existence of solutions, pseudohyperbolic system",
author = "Bondar, {L. N.} and Mingnarov, {S. B.}",
year = "2024",
month = sep,
day = "18",
doi = "10.1134/S1055134424030027",
language = "English",
volume = "34",
pages = "187--195",
journal = "Siberian Advances in Mathematics",
issn = "1055-1344",
publisher = "PLEIADES PUBLISHING INC",
number = "3",

}

RIS

TY - JOUR

T1 - Necessary Conditions for Existence of Solutions of a Certain Pseudohyperbolic System of Equations

AU - Bondar, L. N.

AU - Mingnarov, S. B.

PY - 2024/9/18

Y1 - 2024/9/18

N2 - In the present article, we consider the Cauchy problem for a pseudohyperbolic system that arises in modeling flexural-torsional vibrations of an elastic rod. For the function on the right-hand side of the system, we suggest necessary conditions for existence of a solution of the Cauchy problem in the Sobolev space with exponential weight.

AB - In the present article, we consider the Cauchy problem for a pseudohyperbolic system that arises in modeling flexural-torsional vibrations of an elastic rod. For the function on the right-hand side of the system, we suggest necessary conditions for existence of a solution of the Cauchy problem in the Sobolev space with exponential weight.

KW - Cauchy problem

KW - anisotropic Sobolev space

KW - necessary conditions for existence of solutions

KW - pseudohyperbolic system

UR - https://www.mendeley.com/catalogue/a91f6bed-6346-35cb-b65d-5be095ce9333/

U2 - 10.1134/S1055134424030027

DO - 10.1134/S1055134424030027

M3 - Article

VL - 34

SP - 187

EP - 195

JO - Siberian Advances in Mathematics

JF - Siberian Advances in Mathematics

SN - 1055-1344

IS - 3

ER -

ID: 60813885