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On solvability of the boundary value problem for one pseudohyperbolic equation. / Bondar, L. N.; Nurmakhmatov, V. S.

In: Сибирские электронные математические известия, Vol. 18, No. 2, 41, 2021, p. 1046-1057.

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

Harvard

Bondar, LN & Nurmakhmatov, VS 2021, 'On solvability of the boundary value problem for one pseudohyperbolic equation', Сибирские электронные математические известия, vol. 18, no. 2, 41, pp. 1046-1057. https://doi.org/10.33048/SEMI.2021.18.080

APA

Bondar, L. N., & Nurmakhmatov, V. S. (2021). On solvability of the boundary value problem for one pseudohyperbolic equation. Сибирские электронные математические известия, 18(2), 1046-1057. [41]. https://doi.org/10.33048/SEMI.2021.18.080

Vancouver

Bondar LN, Nurmakhmatov VS. On solvability of the boundary value problem for one pseudohyperbolic equation. Сибирские электронные математические известия. 2021;18(2):1046-1057. 41. doi: 10.33048/SEMI.2021.18.080

Author

Bondar, L. N. ; Nurmakhmatov, V. S. / On solvability of the boundary value problem for one pseudohyperbolic equation. In: Сибирские электронные математические известия. 2021 ; Vol. 18, No. 2. pp. 1046-1057.

BibTeX

@article{9c2ee1f8af8846018e990578a3ed3d02,
title = "On solvability of the boundary value problem for one pseudohyperbolic equation",
abstract = "The paper considers the first boundary value problem in a rectangle for the equation describing torsional vibrations of an elastic rod. Existence and uniqueness theorems are proved for a generalized solution of the first boundary value problem in Sobolev space.",
keywords = "generalized solution, pseudohyperbolic equation, torsional vibrations, Sobolev space, unique solvability, Galerkin method, CAUCHY-PROBLEM, HYPERBOLIC-EQUATIONS, Galerkin method.",
author = "Bondar, {L. N.} and Nurmakhmatov, {V. S.}",
note = "Funding Information: Bondar, L.N., Nurmakhmatov, V.S., On solvability of the boundary value problem for one pseudohyperbolic equation. {\textcopyright} 2021 Bondar L.N., Nurmakhmatov V.S. The work is supported by the Mathematical Center in Akademgorodok under agreement No. Funding Information: The work is supported by the Mathematical Center in Akademgorodok under agreement No. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation. Publisher Copyright: {\textcopyright} 2021. Bondar L.N., Nurmakhmatov V.S.",
year = "2021",
doi = "10.33048/SEMI.2021.18.080",
language = "English",
volume = "18",
pages = "1046--1057",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",
number = "2",

}

RIS

TY - JOUR

T1 - On solvability of the boundary value problem for one pseudohyperbolic equation

AU - Bondar, L. N.

AU - Nurmakhmatov, V. S.

N1 - Funding Information: Bondar, L.N., Nurmakhmatov, V.S., On solvability of the boundary value problem for one pseudohyperbolic equation. © 2021 Bondar L.N., Nurmakhmatov V.S. The work is supported by the Mathematical Center in Akademgorodok under agreement No. Funding Information: The work is supported by the Mathematical Center in Akademgorodok under agreement No. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation. Publisher Copyright: © 2021. Bondar L.N., Nurmakhmatov V.S.

PY - 2021

Y1 - 2021

N2 - The paper considers the first boundary value problem in a rectangle for the equation describing torsional vibrations of an elastic rod. Existence and uniqueness theorems are proved for a generalized solution of the first boundary value problem in Sobolev space.

AB - The paper considers the first boundary value problem in a rectangle for the equation describing torsional vibrations of an elastic rod. Existence and uniqueness theorems are proved for a generalized solution of the first boundary value problem in Sobolev space.

KW - generalized solution

KW - pseudohyperbolic equation

KW - torsional vibrations

KW - Sobolev space

KW - unique solvability

KW - Galerkin method

KW - CAUCHY-PROBLEM

KW - HYPERBOLIC-EQUATIONS

KW - Galerkin method.

UR - http://www.scopus.com/inward/record.url?scp=85120953585&partnerID=8YFLogxK

U2 - 10.33048/SEMI.2021.18.080

DO - 10.33048/SEMI.2021.18.080

M3 - Article

VL - 18

SP - 1046

EP - 1057

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

IS - 2

M1 - 41

ER -

ID: 34733889