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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2010, Issue 1(20), Pages 209–213
DOI: https://doi.org/10.14498/vsgtu691 (Mi vsgtu691) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Short Communication
Differential Equations

Non-classic 3D Goursat Problem for One Hyperbolic Equation with Discontinuous Coefficients

I. G. Mamedov

Institute of Cybernetics named after Academician A. Huseynov, National Academy of Sciences of Aserbaijan
Full-text PDF (281 kB) Citations (5)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu691
Abstract: For a differential equation of hyperbolic type with discontinuous coefficients a 3D Goursat problem with nonclassical boundary conditions is considered, which requires no matching conditions. Equivalence of these conditions boundary condition is substantiated classical, in the case if the solution of the problem in the anisotropic S. L. Sobolev's space is found.
Keywords: hyperbolic equation, 3D Goursat problem, equation with discontinuous coefficients.
Original article submitted 18/V/2009
revision submitted – 10/II/2010
Bibliographic databases:
Document Type: Article
UDC: 517.956
MSC: 35S15, 35L35, 35L25, 47G30
Language: Russian
Citation: I. G. Mamedov, “Non-classic 3D Goursat Problem for One Hyperbolic Equation with Discontinuous Coefficients”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(20) (2010), 209–213
Citation in format AMSBIB
\Bibitem{Mam10}
\by I.~G.~Mamedov
\paper Non-classic 3D Goursat Problem for One Hyperbolic Equation with~Discontinuous Coefficients
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2010
\vol 1(20)
\pages 209--213
\mathnet{http://mi.mathnet.ru/vsgtu691}
\crossref{https://doi.org/10.14498/vsgtu691}
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  • https://www.mathnet.ru/eng/vsgtu/v120/p209
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    This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Full-text PDF :263
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