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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2010, Issue 4(78), Pages 56–64 (Mi vsgu168)  
This article is cited in 8 scientific papers (total in 8 papers)

Mathematics

Nonlocal problem with time-dependent Steklov's boundary conditions for hyperbolic equation

L. S. Pulkina, A. V. Dyuzheva

Dept. of Equations of Mathematical Physics, Samara State University, Samara, 443011, Russia
Full-text PDF (533 kB) Citations (8)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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Abstract: In this article, the solvability of boundary-value problem for hyperbolic equation with nonlocal conditions
$$a_1(t)u_x(0,t)+a_2(t)u_x(1,t)+a_3(t)u(0,t)+a_4(t)u(1,t)=0,$$

$$b_1(t)u_x(0,t)+b_2(t)u_x(1,t)+b_3(t)u(0,t)+b_4(t)u(1,t)=0 $$
is proved. The proof is mainly based on a priori estimates and Galerkin procedure.
Keywords: hyperbolic equation, nonlocal conditions, generalized solution.
Received: 30.03.2010
Revised: 30.03.2010
Document Type: Article
UDC: 517.95
Language: Russian
Citation: L. S. Pulkina, A. V. Dyuzheva, “Nonlocal problem with time-dependent Steklov's boundary conditions for hyperbolic equation”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2010, no. 4(78), 56–64
Citation in format AMSBIB
\Bibitem{PulDyu10}
\by L.~S.~Pulkina, A.~V.~Dyuzheva
\paper Nonlocal problem with time-dependent Steklov's boundary conditions
for hyperbolic equation
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2010
\issue 4(78)
\pages 56--64
\mathnet{http://mi.mathnet.ru/vsgu168}
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  • https://www.mathnet.ru/eng/vsgu/y2010/i4/p56
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного университета. Естественнонаучная серия
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    References:64
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