Initial-Boundary Value Problem for Hyperbolic Equation with Singular Coefficient and Integral Condition of Second Kind

dc.contributor.author	Sabitov K.
dc.contributor.author	Zaitseva N.
dc.date.accessioned	2019-01-22T20:52:04Z
dc.date.available	2019-01-22T20:52:04Z
dc.date.issued	2018
dc.identifier.issn	1995-0802
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/149165
dc.description.abstract	© 2018, Pleiades Publishing, Ltd. We research an initial-boundary value problem with integral condition of the second kind in a rectangular domain for a hyperbolic equation with singular coefficient. The solution is obtained in the form of the Fourier–Bessel series. There are proved theorems on uniqueness, existence and stability of the solution. In order to prove the existence of solution of the non-local problem we obtain sufficient conditions for the convergence of the series in terms of the initial values.
dc.relation.ispartofseries	Lobachevskii Journal of Mathematics
dc.subject	existence
dc.subject	Fourier–Bessel series
dc.subject	hyperbolic equation
dc.subject	non-local integral condition
dc.subject	singular coefficient
dc.subject	stability
dc.subject	uniqueness
dc.title	Initial-Boundary Value Problem for Hyperbolic Equation with Singular Coefficient and Integral Condition of Second Kind
dc.type	Article
dc.relation.ispartofseries-issue	9
dc.relation.ispartofseries-volume	39
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	1419
dc.source.id	SCOPUS19950802-2018-39-9-SID85059676650

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Публикации сотрудников КФУ Scopus [24551]
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