Spatially nonlocal problems with integral conditions for third-order differential equations

A. I. Kozhanov; G. A. Lukina

doi:10.1134/S0012266117070047

Spatially nonlocal problems with integral conditions for third-order differential equations

A. I. Kozhanov, G. A. Lukina

Кафедра математики ФИТ

Результат исследования: Научные публикации в периодических изданиях › статья

Аннотация

We obtain sufficient conditions for the existence of regular solutions of some nonlocal problems for the equation u_ttt + u_xx + μu = f(x, t) with conditions containing integrals with respect to the spatial variable.

Язык оригинала	английский
Страницы (с-по)	879-890
Число страниц	12
Журнал	Differential Equations
Том	53
Номер выпуска	7
DOI	https://doi.org/10.1134/S0012266117070047
Состояние	Опубликовано - 1 июл 2017

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Kozhanov, A. I., & Lukina, G. A. (2017). Spatially nonlocal problems with integral conditions for third-order differential equations. Differential Equations, 53(7), 879-890. https://doi.org/10.1134/S0012266117070047

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title = "Spatially nonlocal problems with integral conditions for third-order differential equations",

abstract = "We obtain sufficient conditions for the existence of regular solutions of some nonlocal problems for the equation uttt + uxx + μu = f(x, t) with conditions containing integrals with respect to the spatial variable.",

keywords = "MULTIDIMENSIONAL HYPERBOLIC-EQUATIONS, BOUNDARY-VALUE-PROBLEMS, SOLVABILITY",

author = "Kozhanov, {A. I.} and Lukina, {G. A.}",

year = "2017",

month = jul,

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doi = "10.1134/S0012266117070047",

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T1 - Spatially nonlocal problems with integral conditions for third-order differential equations

AU - Kozhanov, A. I.

AU - Lukina, G. A.

PY - 2017/7/1

Y1 - 2017/7/1

N2 - We obtain sufficient conditions for the existence of regular solutions of some nonlocal problems for the equation uttt + uxx + μu = f(x, t) with conditions containing integrals with respect to the spatial variable.

AB - We obtain sufficient conditions for the existence of regular solutions of some nonlocal problems for the equation uttt + uxx + μu = f(x, t) with conditions containing integrals with respect to the spatial variable.

KW - MULTIDIMENSIONAL HYPERBOLIC-EQUATIONS

KW - BOUNDARY-VALUE-PROBLEMS

KW - SOLVABILITY

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U2 - 10.1134/S0012266117070047

DO - 10.1134/S0012266117070047

M3 - Article

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VL - 53

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JO - Differential Equations

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SN - 0012-2661

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Доступ к документу

10.1134/S0012266117070047

Link to publication in Scopus