КФУ. Карточка публикации. Initial Value Problem for B-Hyperbolic Equation with Integral Condition of the Second Kind

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INITIAL VALUE PROBLEM FOR B-HYPERBOLIC EQUATION WITH INTEGRAL CONDITION OF THE SECOND KIND

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2018

Язык

английский

Авторы, сотрудники КФУ

Зайцева Наталья Владимировна, автор

Другие авторы

Сабитов Камиль Басирович, автор

Библиографическое описание на языке оригинала

Sabitov K.B., Zaitseva N.V., Initial Value Problem for B-Hyperbolic Equation with Integral Condition of the Second Kind // Differential Equations. - 2018. - Vol. 54, Is. 1. - P. 121-133.

Аннотация

For the hyperbolic equation with Bessel operator, we study the initial boundary value problem with integral nonlocal condition of the second kind in a rectangular domain. The integral identity method is used to prove the uniqueness of the solution to the posed problem. The solution is constructed as a Fourier–Bessel series. To justify the existence of the solution to the nonlocal problem, we obtain sufficient conditions to be imposed on the initial conditions to ensure the convergence of the constructed series in the class of regular solutions.

Ключевые слова

boundary value problem, hyperbolic equation, integral condition, Bessel operator, Fourier-Bessel series

Название журнала

DIFFERENTIAL EQUATIONS

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85045525861&doi=10.1134%2fS001226611801010X&partnerID=40&md5=8b052d01d4302f21a3d1af1bad7e624e

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https://repository.kpfu.ru/?p_id=182417

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Зайцева Наталья Владимировна	ru_RU
dc.contributor.author	Сабитов Камиль Басирович	ru_RU
dc.date.accessioned	2018-01-01T00:00:00Z	ru_RU
dc.date.available	2018-01-01T00:00:00Z	ru_RU
dc.date.issued	2018	ru_RU
dc.identifier.citation	Sabitov K.B., Zaitseva N.V., Initial Value Problem for B-Hyperbolic Equation with Integral Condition of the Second Kind // Differential Equations. - 2018. - Vol. 54, Is. 1. - P. 121-133.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=182417	ru_RU
dc.description.abstract	DIFFERENTIAL EQUATIONS	ru_RU
dc.description.abstract	For the hyperbolic equation with Bessel operator, we study the initial boundary value problem with integral nonlocal condition of the second kind in a rectangular domain. The integral identity method is used to prove the uniqueness of the solution to the posed problem. The solution is constructed as a Fourier–Bessel series. To justify the existence of the solution to the nonlocal problem, we obtain sufficient conditions to be imposed on the initial conditions to ensure the convergence of the constructed series in the class of regular solutions.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	boundary value problem	ru_RU
dc.subject	hyperbolic equation	ru_RU
dc.subject	integral condition	ru_RU
dc.subject	Bessel operator	ru_RU
dc.subject	Fourier-Bessel series	ru_RU
dc.title	Initial Value Problem for B-Hyperbolic Equation with Integral Condition of the Second Kind	ru_RU
dc.type	Статьи в зарубежных журналах и сборниках	ru_RU