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Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya, 2018, Volume 24, Issue 4, Pages 24–28
DOI: https://doi.org/10.18287/2541-7525-2018-24-4-24-28 (Mi vsgu595) 		 
Mathematics

About one task with a nonlocal condition on time variable for the hyperbolic equation

S. V. Kirichenko

Samara State University of Railway Transport, 18, 1st Besymanniy per., Samara, 443066, Russian Federation
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DOI: https://doi.org/10.18287/2541-7525-2018-24-4-24-28
Abstract: In this article, boundary value problem for hyperbolic equation with nonlocal initial data in integral form is considered. The main result is that the nonlocal problem is equivalent to the classical boundary value problem for a loaded equation. This fact helps to prove the uniqueness of a solution to the problem.
Keywords: hyperbolic equation, nonlocal conditions, second kind integral condition.
Received: 11.09.2018
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: S. V. Kirichenko, “About one task with a nonlocal condition on time variable for the hyperbolic equation”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 24:4 (2018), 24–28
Citation in format AMSBIB
\Bibitem{Kir18}
\by S.~V.~Kirichenko
\paper About one task with a nonlocal condition on time variable for the hyperbolic equation
\jour Vestnik SamU. Estestvenno-Nauchnaya Ser.
\yr 2018
\vol 24
\issue 4
\pages 24--28
\mathnet{http://mi.mathnet.ru/vsgu595}
\crossref{https://doi.org/10.18287/2541-7525-2018-24-4-24-28}
\elib{https://elibrary.ru/item.asp?id=37118578}
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    		Вестник Самарского государственного университета. Естественнонаучная серия
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