KFU. Card publication. Initial Value Problem for B-Hyperbolic Equation with Integral Condition of the Second Kind

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FEDERAL UNIVERSITY

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

Form of presentation

Articles in international journals and collections

Year of publication

2018

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Authors, employees of KFU

Zayceva Natalya Vladimirovna, author

Other authors

Sabitov Kamil Basirovich, author

Bibliographic description in the original language

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.

Annotation

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.

Keywords

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

The name of the journal

DIFFERENTIAL EQUATIONS

URL

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

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=182417&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Zayceva Natalya Vladimirovna	ru_RU
dc.contributor.author	Sabitov Kamil Basirovich	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/eng/?p_id=182417&p_lang=2	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	Articles in international journals and collections	ru_RU