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Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya, 2018, Volume 24, Issue 4, Pages 7–12
DOI: https://doi.org/10.18287/2541-7525-2018-24-4-7-12 (Mi vsgu592) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Problem with an integral condition for one-dimensional hyperbolic equation

A. V. Bogatov

Samara National Research University, 34, Moskovskoye shosse, Samara, 443086, Russian Federation
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DOI: https://doi.org/10.18287/2541-7525-2018-24-4-7-12
Abstract: In this paper, we study a nonlocal problem with an integral condition for a one-dimensional hyperbolic equation arising in the study of vibrations of the rod. The conditions for the input data providing unambiguous solvability of the problem are obtained, the proof of the existence and uniqueness of the solution of the problem is carried out.
Keywords: hyperbolic equation, nonlocal proiblem, integral conditions, uniqueness of the solution, solvability of the problem.
Received: 04.09.2018
Bibliographic databases:
Document Type: Article
UDC: 629.7.05
Language: Russian
Citation: A. V. Bogatov, “Problem with an integral condition for one-dimensional hyperbolic equation”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 24:4 (2018), 7–12
Citation in format AMSBIB
\Bibitem{Bog18}
\by A.~V.~Bogatov
\paper Problem with an integral condition for one-dimensional hyperbolic equation
\jour Vestnik SamU. Estestvenno-Nauchnaya Ser.
\yr 2018
\vol 24
\issue 4
\pages 7--12
\mathnet{http://mi.mathnet.ru/vsgu592}
\crossref{https://doi.org/10.18287/2541-7525-2018-24-4-7-12}
\elib{https://elibrary.ru/item.asp?id=37118574}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного университета. Естественнонаучная серия
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