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Avtomatika i Telemekhanika, 2007, Issue 2, Pages 138–151 (Mi at946)  
This article is cited in 1 scientific paper (total in 1 paper)

Systems with Distributed Parameters

The formula of the solution for some classes of initial boundary value problems for the hyperbolic equation with two independent variables

V. L. Pryadiev, A. V. Pryadiev

Voronezh State University
Full-text PDF (253 kB) Citations (1)
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Abstract: A new representation is proved of the solutions of initial boundary value problems for the equation of the form $u_{xx}(x,t)+r(x)u_{x}(x,t)-q(x)u(x,t)=u_{tt}(x,t)+\mu(x)u_{t}(x,t)$ in the section (under boundary conditions of the 1st, 2nd, or 3rd type in any combination). This representation has the form of the Riemann integral dependent on the $x$ and $t$ over the given section.
Presented by the member of Editorial Board: V. N. Bukov

Received: 19.04.2006
English version:
Automation and Remote Control, 2007, Volume 68, Issue 2, Pages 337–350
DOI: https://doi.org/10.1134/S0005117907020142
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: V. L. Pryadiev, A. V. Pryadiev, “The formula of the solution for some classes of initial boundary value problems for the hyperbolic equation with two independent variables”, Avtomat. i Telemekh., 2007, no. 2, 138–151; Autom. Remote Control, 68:2 (2007), 337–350
Citation in format AMSBIB
\Bibitem{PryPry07}
\by V.~L.~Pryadiev, A.~V.~Pryadiev
\paper The formula of the solution for some classes of initial boundary value problems for the hyperbolic equation with two independent variables
\jour Avtomat. i Telemekh.
\yr 2007
\issue 2
\pages 138--151
\mathnet{http://mi.mathnet.ru/at946}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2301554}
\zmath{https://zbmath.org/?q=an:1129.93021}
\transl
\jour Autom. Remote Control
\yr 2007
\vol 68
\issue 2
\pages 337--350
\crossref{https://doi.org/10.1134/S0005117907020142}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33947180116}
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  • https://www.mathnet.ru/eng/at/y2007/i2/p138
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :98
    References:49
    First page:1
     
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