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Mixed Problem with Integral Condition for a Loaded Third Order Pseudoparabolic Equation. / Kozhanov, Alexandr; Zikirov, Obidjan; Kholikov, Dilshod.

In: Journal of Mathematical Sciences (United States), Vol. 277, No. 3, 12.2023, p. 420-430.

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

Harvard

Kozhanov, A, Zikirov, O & Kholikov, D 2023, 'Mixed Problem with Integral Condition for a Loaded Third Order Pseudoparabolic Equation', Journal of Mathematical Sciences (United States), vol. 277, no. 3, pp. 420-430. https://doi.org/10.1007/s10958-023-06845-9

APA

Kozhanov, A., Zikirov, O., & Kholikov, D. (2023). Mixed Problem with Integral Condition for a Loaded Third Order Pseudoparabolic Equation. Journal of Mathematical Sciences (United States), 277(3), 420-430. https://doi.org/10.1007/s10958-023-06845-9

Vancouver

Kozhanov A, Zikirov O, Kholikov D. Mixed Problem with Integral Condition for a Loaded Third Order Pseudoparabolic Equation. Journal of Mathematical Sciences (United States). 2023 Dec;277(3):420-430. doi: 10.1007/s10958-023-06845-9

Author

Kozhanov, Alexandr ; Zikirov, Obidjan ; Kholikov, Dilshod. / Mixed Problem with Integral Condition for a Loaded Third Order Pseudoparabolic Equation. In: Journal of Mathematical Sciences (United States). 2023 ; Vol. 277, No. 3. pp. 420-430.

BibTeX

@article{d09e07037d20436989888f5fb17ead4a,
title = "Mixed Problem with Integral Condition for a Loaded Third Order Pseudoparabolic Equation",
abstract = "We consider a nonlocal problem with an integral condition for a loaded third order pseudoparabolic equation in a rectangular domain. We prove the unique solvability of the problem with the help of an auxiliary Goursat problem for a pseudoparabolic equation. Based on an integral representation of the solution to the Goursat problem, we reduce the original problem to a Volterra integral equation of the second kind and, using the contraction mapping principle, establish the solvability of the original problem.",
author = "Alexandr Kozhanov and Obidjan Zikirov and Dilshod Kholikov",
note = "The work was supported by the Russian Science Foundation ( project No. 23-21-00269). Публикация для корректировки.",
year = "2023",
month = dec,
doi = "10.1007/s10958-023-06845-9",
language = "English",
volume = "277",
pages = "420--430",
journal = "Journal of Mathematical Sciences (United States)",
issn = "1072-3374",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Mixed Problem with Integral Condition for a Loaded Third Order Pseudoparabolic Equation

AU - Kozhanov, Alexandr

AU - Zikirov, Obidjan

AU - Kholikov, Dilshod

N1 - The work was supported by the Russian Science Foundation ( project No. 23-21-00269). Публикация для корректировки.

PY - 2023/12

Y1 - 2023/12

N2 - We consider a nonlocal problem with an integral condition for a loaded third order pseudoparabolic equation in a rectangular domain. We prove the unique solvability of the problem with the help of an auxiliary Goursat problem for a pseudoparabolic equation. Based on an integral representation of the solution to the Goursat problem, we reduce the original problem to a Volterra integral equation of the second kind and, using the contraction mapping principle, establish the solvability of the original problem.

AB - We consider a nonlocal problem with an integral condition for a loaded third order pseudoparabolic equation in a rectangular domain. We prove the unique solvability of the problem with the help of an auxiliary Goursat problem for a pseudoparabolic equation. Based on an integral representation of the solution to the Goursat problem, we reduce the original problem to a Volterra integral equation of the second kind and, using the contraction mapping principle, establish the solvability of the original problem.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85180490412&origin=inward&txGid=de513d20ea0344c9c4d57fa50f179e49

UR - https://www.mendeley.com/catalogue/f076676e-9304-304e-bd8f-93d4015f662b/

U2 - 10.1007/s10958-023-06845-9

DO - 10.1007/s10958-023-06845-9

M3 - Article

VL - 277

SP - 420

EP - 430

JO - Journal of Mathematical Sciences (United States)

JF - Journal of Mathematical Sciences (United States)

SN - 1072-3374

IS - 3

ER -

ID: 59543636