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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 1, Pages 139–146 (Mi timm785)  
This article is cited in 2 scientific papers (total in 2 papers)

Inverse problem for a hyperbolic equation with a nonlocal boundary condition containing a delay argument

A. M. Denisov

M. V. Lomonosov Moscow State University
Full-text PDF (145 kB) Citations (2)
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Abstract: We study an initial-boundary value problem for a hyperbolic equation with a nonlocal boundary condition containing a delay argument. The inverse problem is formulated, which consists in finding the unknown coefficient of the hyperbolic equation from a solution of the initial-boundary value problem specified at a fixed time. An existence theorem for a solution of the inverse problem is proved.
Keywords: hyperbolic equation, nonlocal condition, delay argument, inverse problem, existence theorem.
Received: 28.04.2011
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2013, Volume 280, Issue 1, Pages 80–87
DOI: https://doi.org/10.1134/S0081543813020077
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: A. M. Denisov, “Inverse problem for a hyperbolic equation with a nonlocal boundary condition containing a delay argument”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 1, 2012, 139–146; Proc. Steklov Inst. Math. (Suppl.), 280, suppl. 1 (2013), 80–87
Citation in format AMSBIB
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\by A.~M.~Denisov
\paper Inverse problem for a~hyperbolic equation with a~nonlocal boundary condition containing a~delay argument
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 1
\pages 139--146
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\elib{https://elibrary.ru/item.asp?id=17358684}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2013
\vol 280
\issue , suppl. 1
\pages 80--87
\crossref{https://doi.org/10.1134/S0081543813020077}
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  • https://www.mathnet.ru/eng/timm/v18/i1/p139
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :158
    References:96
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