Standard

Spatially Nonlocal Problems with Integral Conditions for Ultraparabolic Equation. / Kozhanov, A. I.; Mamatov, Zh. A.

в: UZBEK MATHEMATICAL JOURNAL, Том 69, № 2, 2025, стр. 142-152.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Kozhanov, AI & Mamatov, ZA 2025, 'Spatially Nonlocal Problems with Integral Conditions for Ultraparabolic Equation', UZBEK MATHEMATICAL JOURNAL, Том. 69, № 2, стр. 142-152. https://doi.org/10.29229/uzmj.2025-2-13

APA

Kozhanov, A. I., & Mamatov, Z. A. (2025). Spatially Nonlocal Problems with Integral Conditions for Ultraparabolic Equation. UZBEK MATHEMATICAL JOURNAL, 69(2), 142-152. https://doi.org/10.29229/uzmj.2025-2-13

Vancouver

Kozhanov AI, Mamatov ZA. Spatially Nonlocal Problems with Integral Conditions for Ultraparabolic Equation. UZBEK MATHEMATICAL JOURNAL. 2025;69(2):142-152. doi: 10.29229/uzmj.2025-2-13

Author

Kozhanov, A. I. ; Mamatov, Zh. A. / Spatially Nonlocal Problems with Integral Conditions for Ultraparabolic Equation. в: UZBEK MATHEMATICAL JOURNAL. 2025 ; Том 69, № 2. стр. 142-152.

BibTeX

@article{8c866047c67441e0a7fdfdfbd353d373,
title = "Spatially Nonlocal Problems with Integral Conditions for Ultraparabolic Equation",
abstract = "The article is devoted to investigating the solvability of new nonlocal boundary value problems for linear ultraparabolic equations with two time variables and one spatial variable. The main peculiarities of the problems is first that nonlocal conditions of integral form are given with respect to the spatial variable and second, that the coefficient at one of the time derivatives may degenerate. The article aims to prove existence and uniqueness theorems for regular solutions, i.e., or solutions having all weak derivatives in the sense of S. L. Sobolev occurring in the equation.",
keywords = "ultraparabolic equations, nonlocal problems, integral conditions, existence, uniqueness",
author = "Kozhanov, {A. I.} and Mamatov, {Zh. A.}",
note = "The work was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project FWNF–2022–0008). Kozhanov A. I., Mamatov Zh. A. Spatially Nonlocal Problems with Integral Conditions for Ultraparabolic Equation / A. I. Kozhanov, Zh. A. Mamatov // Uzbek Mathematical Journal. – 2025. – Vol. 69, No. 2. – P. 142-152. – DOI 10.29229/uzmj.2025-2-13",
year = "2025",
doi = "10.29229/uzmj.2025-2-13",
language = "English",
volume = "69",
pages = "142--152",
journal = "UZBEK MATHEMATICAL JOURNAL",
issn = "2010-7269",
publisher = "Romanovsky Institute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan",
number = "2",

}

RIS

TY - JOUR

T1 - Spatially Nonlocal Problems with Integral Conditions for Ultraparabolic Equation

AU - Kozhanov, A. I.

AU - Mamatov, Zh. A.

N1 - The work was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project FWNF–2022–0008). Kozhanov A. I., Mamatov Zh. A. Spatially Nonlocal Problems with Integral Conditions for Ultraparabolic Equation / A. I. Kozhanov, Zh. A. Mamatov // Uzbek Mathematical Journal. – 2025. – Vol. 69, No. 2. – P. 142-152. – DOI 10.29229/uzmj.2025-2-13

PY - 2025

Y1 - 2025

N2 - The article is devoted to investigating the solvability of new nonlocal boundary value problems for linear ultraparabolic equations with two time variables and one spatial variable. The main peculiarities of the problems is first that nonlocal conditions of integral form are given with respect to the spatial variable and second, that the coefficient at one of the time derivatives may degenerate. The article aims to prove existence and uniqueness theorems for regular solutions, i.e., or solutions having all weak derivatives in the sense of S. L. Sobolev occurring in the equation.

AB - The article is devoted to investigating the solvability of new nonlocal boundary value problems for linear ultraparabolic equations with two time variables and one spatial variable. The main peculiarities of the problems is first that nonlocal conditions of integral form are given with respect to the spatial variable and second, that the coefficient at one of the time derivatives may degenerate. The article aims to prove existence and uniqueness theorems for regular solutions, i.e., or solutions having all weak derivatives in the sense of S. L. Sobolev occurring in the equation.

KW - ultraparabolic equations

KW - nonlocal problems

KW - integral conditions

KW - existence

KW - uniqueness

UR - https://www.mendeley.com/catalogue/a6c3f569-8b80-3953-b4a3-948f261d6e57/

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=105019045921&origin=inward

U2 - 10.29229/uzmj.2025-2-13

DO - 10.29229/uzmj.2025-2-13

M3 - Article

VL - 69

SP - 142

EP - 152

JO - UZBEK MATHEMATICAL JOURNAL

JF - UZBEK MATHEMATICAL JOURNAL

SN - 2010-7269

IS - 2

ER -

ID: 71297338