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THIRD-ORDER DIFFERENTIAL EQUATIONS WITH MULTIPLE CHARACTERISTICS: DEGENERATION AND UNKNOWN EXTERNAL INFLUENCE. / Kozhanov, A. I.; Ashurova, G. R.

In: Chelyabinsk Physical and Mathematical Journal, Vol. 9, No. 4, 2024, p. 585-595.

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

Harvard

Kozhanov, AI & Ashurova, GR 2024, 'THIRD-ORDER DIFFERENTIAL EQUATIONS WITH MULTIPLE CHARACTERISTICS: DEGENERATION AND UNKNOWN EXTERNAL INFLUENCE', Chelyabinsk Physical and Mathematical Journal, vol. 9, no. 4, pp. 585-595. https://doi.org/10.47475/2500-0101-2024-9-4-585-595

APA

Kozhanov, A. I., & Ashurova, G. R. (2024). THIRD-ORDER DIFFERENTIAL EQUATIONS WITH MULTIPLE CHARACTERISTICS: DEGENERATION AND UNKNOWN EXTERNAL INFLUENCE. Chelyabinsk Physical and Mathematical Journal, 9(4), 585-595. https://doi.org/10.47475/2500-0101-2024-9-4-585-595

Vancouver

Kozhanov AI, Ashurova GR. THIRD-ORDER DIFFERENTIAL EQUATIONS WITH MULTIPLE CHARACTERISTICS: DEGENERATION AND UNKNOWN EXTERNAL INFLUENCE. Chelyabinsk Physical and Mathematical Journal. 2024;9(4):585-595. doi: 10.47475/2500-0101-2024-9-4-585-595

Author

Kozhanov, A. I. ; Ashurova, G. R. / THIRD-ORDER DIFFERENTIAL EQUATIONS WITH MULTIPLE CHARACTERISTICS: DEGENERATION AND UNKNOWN EXTERNAL INFLUENCE. In: Chelyabinsk Physical and Mathematical Journal. 2024 ; Vol. 9, No. 4. pp. 585-595.

BibTeX

@article{7679fc0606384f9588c357f85eb0e1f0,
title = "THIRD-ORDER DIFFERENTIAL EQUATIONS WITH MULTIPLE CHARACTERISTICS: DEGENERATION AND UNKNOWN EXTERNAL INFLUENCE",
abstract = "Inverse problems of determination together with the solution of a degenerate differential equation with multiple characteristics of an unknown coefficient representing external influence (the free term) are studied. The nature of degeneration in the studied equation, as well as the type of the unknown coefficient, are determined by the time variable. Theorems of existence and uniqueness of regular solutions (solutions that possess all generalized derivatives according to S.L. Sobolev, which are involved in the equation) are proved for the studied problems.",
keywords = "degeneration, differential equation with multiple characteristics, existence, inverse problem, regular solution, uniqueness, unknown external influence",
author = "Kozhanov, {A. I.} and Ashurova, {G. R.}",
note = "The research was carried out within the state assignment of Ministry of Science and Higher Education of the Russian Federation, theme Analytical and numerical study of inverse problems on recovering parameters of atmosphere or water sources and (or) parameters of media (code FENG-2023-0004).",
year = "2024",
doi = "10.47475/2500-0101-2024-9-4-585-595",
language = "English",
volume = "9",
pages = "585--595",
journal = "Chelyabinsk Physical and Mathematical Journal",
issn = "2500-0101",
publisher = "Chelyabinsk State University",
number = "4",

}

RIS

TY - JOUR

T1 - THIRD-ORDER DIFFERENTIAL EQUATIONS WITH MULTIPLE CHARACTERISTICS: DEGENERATION AND UNKNOWN EXTERNAL INFLUENCE

AU - Kozhanov, A. I.

AU - Ashurova, G. R.

N1 - The research was carried out within the state assignment of Ministry of Science and Higher Education of the Russian Federation, theme Analytical and numerical study of inverse problems on recovering parameters of atmosphere or water sources and (or) parameters of media (code FENG-2023-0004).

PY - 2024

Y1 - 2024

N2 - Inverse problems of determination together with the solution of a degenerate differential equation with multiple characteristics of an unknown coefficient representing external influence (the free term) are studied. The nature of degeneration in the studied equation, as well as the type of the unknown coefficient, are determined by the time variable. Theorems of existence and uniqueness of regular solutions (solutions that possess all generalized derivatives according to S.L. Sobolev, which are involved in the equation) are proved for the studied problems.

AB - Inverse problems of determination together with the solution of a degenerate differential equation with multiple characteristics of an unknown coefficient representing external influence (the free term) are studied. The nature of degeneration in the studied equation, as well as the type of the unknown coefficient, are determined by the time variable. Theorems of existence and uniqueness of regular solutions (solutions that possess all generalized derivatives according to S.L. Sobolev, which are involved in the equation) are proved for the studied problems.

KW - degeneration

KW - differential equation with multiple characteristics

KW - existence

KW - inverse problem

KW - regular solution

KW - uniqueness

KW - unknown external influence

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85208467878&origin=inward&txGid=0e6e0c43c23911b98ae69a614f7001d0

UR - https://www.mendeley.com/catalogue/7f516868-a6f0-3e89-83f0-89a1a00d3b98/

U2 - 10.47475/2500-0101-2024-9-4-585-595

DO - 10.47475/2500-0101-2024-9-4-585-595

M3 - Article

VL - 9

SP - 585

EP - 595

JO - Chelyabinsk Physical and Mathematical Journal

JF - Chelyabinsk Physical and Mathematical Journal

SN - 2500-0101

IS - 4

ER -

ID: 61306240