Нелокальные задачи для обобщенного уравнения Буссинеска-Лява

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Нелокальные задачи для обобщенного уравнения Буссинеска-Лява. / Kozhanov, Aleksandr Ivanovich; Wang, Min.

In: Siberian Electronic Mathematical Reports, Vol. 22, No. 2, 29.12.2025, p. 1473-1487.

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

BibTeX

@article{70e028629c9345da9875a0aa825be2b8,

title = "Нелокальные задачи для обобщенного уравнения Буссинеска-Лява",

abstract = "This work investigates the solvability of nonlocal boundary value problems for the generalized Boussinesq-Love differential equation in anisotropic S.L. Sobolev spaces. A distinctive feature of the studied problems is that their nonlocal conditions represent Samarskii-Ionkin type conditions with respect to the temporal (distinguished) variable. The main objective of this work is to prove existence and uniqueness theorems for regular solutions of the considered problems—specifically, solutions possessing all generalized derivatives in the S.L. Sobolev sense that appear in the corresponding equation.",

keywords = "existence, generalized Boussinesq–Love equation, generalized Samarskii–Ionkin conditions, nonlocal boundary value problems, regular solutions, uniqueness",

author = "Kozhanov, {Aleksandr Ivanovich} and Min Wang",

note = "Кожанов А.И., Ван М. Нелокальные задачи для обобщенного уравнения Буссинеска-Лява // Сибирские электронные математические известия. - 2025. - Т. 22. - № 2. - 1473-1487. Работа выполнена в рамках государственного задания Института математики им. С.Л. Соболева СО РАН, проект FWNF-2022-0008.",

year = "2025",

month = dec,

day = "29",

doi = "10.33048/semi.2025.22.099",

language = "русский",

volume = "22",

pages = "1473--1487",

journal = "Сибирские электронные математические известия",

issn = "1813-3304",

publisher = "Sobolev Institute of Mathematics",

number = "2",

}

RIS

TY - JOUR

T1 - Нелокальные задачи для обобщенного уравнения Буссинеска-Лява

AU - Kozhanov, Aleksandr Ivanovich

AU - Wang, Min

N1 - Кожанов А.И., Ван М. Нелокальные задачи для обобщенного уравнения Буссинеска-Лява // Сибирские электронные математические известия. - 2025. - Т. 22. - № 2. - 1473-1487. Работа выполнена в рамках государственного задания Института математики им. С.Л. Соболева СО РАН, проект FWNF-2022-0008.

PY - 2025/12/29

Y1 - 2025/12/29

N2 - This work investigates the solvability of nonlocal boundary value problems for the generalized Boussinesq-Love differential equation in anisotropic S.L. Sobolev spaces. A distinctive feature of the studied problems is that their nonlocal conditions represent Samarskii-Ionkin type conditions with respect to the temporal (distinguished) variable. The main objective of this work is to prove existence and uniqueness theorems for regular solutions of the considered problems—specifically, solutions possessing all generalized derivatives in the S.L. Sobolev sense that appear in the corresponding equation.

AB - This work investigates the solvability of nonlocal boundary value problems for the generalized Boussinesq-Love differential equation in anisotropic S.L. Sobolev spaces. A distinctive feature of the studied problems is that their nonlocal conditions represent Samarskii-Ionkin type conditions with respect to the temporal (distinguished) variable. The main objective of this work is to prove existence and uniqueness theorems for regular solutions of the considered problems—specifically, solutions possessing all generalized derivatives in the S.L. Sobolev sense that appear in the corresponding equation.

KW - existence

KW - generalized Boussinesq–Love equation

KW - generalized Samarskii–Ionkin conditions

KW - nonlocal boundary value problems

KW - regular solutions

KW - uniqueness

UR - https://www.scopus.com/pages/publications/105026625260

UR - https://www.mendeley.com/catalogue/2c5f0cac-8671-39f9-a053-4f5aad146fb5/

U2 - 10.33048/semi.2025.22.099

DO - 10.33048/semi.2025.22.099

M3 - статья

VL - 22

SP - 1473

EP - 1487

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

IS - 2

ER -

ID: 75460046