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Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya, 2017, Issue 2, Pages 7–14 (Mi vsgu537)  
This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

A problem on vibration of a bar with unknown boundary condition on a part of the boundary

A. B. Beylina, L. S. Pulkinab

a Samara State Technical University, 133, Molodogvardeiskaya str., Samara, 443010, Russian Federation
b Samara National Research University, 34, Moskovskoye shosse, 443086, Russian Federation
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Abstract: In this paper, we study an inverse problem for hyperbolic equation. This problem arises when we consider vibration of a nonhomogeneous bar if one endpoint is fixed by spring but behavior of the other is unknown and is the subject to find. Overdetermination is given in the form of integral with respect to spacial variable. Unique solvability of this problem is proved under some conditions on data. The proof is based on a priori estimates in Sobolev space.
Keywords: hyperbolic equation, inverse problem, integral overdetermination.
Received: 05.07.2017
Bibliographic databases:
Document Type: Article
UDC: 517.95, 624.07
Language: Russian
Citation: A. B. Beylin, L. S. Pulkina, “A problem on vibration of a bar with unknown boundary condition on a part of the boundary”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 2017, no. 2, 7–14
Citation in format AMSBIB
\Bibitem{BeyPul17}
\by A.~B.~Beylin, L.~S.~Pulkina
\paper A problem on vibration of a bar with unknown boundary condition on a part of the boundary
\jour Vestnik SamU. Estestvenno-Nauchnaya Ser.
\yr 2017
\issue 2
\pages 7--14
\mathnet{http://mi.mathnet.ru/vsgu537}
\elib{https://elibrary.ru/item.asp?id=29957946}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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