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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, 2013, Issue 1(30), Pages 31–36
DOI: https://doi.org/10.14498/vsgtu1182 (Mi vsgtu1182) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Procedings of the 3nd International Conference "Mathematical Physics and its Applications"
Equations of Mathematical Physics

The characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics

A. A. Andreev, J. O. Yakovleva

Samara State Technical University, Samara, 443100, Russia
Full-text PDF (146 kB) Citations (11)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1182
Abstract: We consider the well-posed characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics. The solution of this problem is constructed in an explicit form. The example of the analogue of Goursat problem for a particular system of the hyperbolic differential equations of the third order is given.
Keywords: system of the general hyperbolic differential equations, nonmultiple characteristics, characteristic problem, Hadamard's well-posedness.
Original article submitted 16/XI/2012
revision submitted – 27/I/2013
Bibliographic databases:
Document Type: Article
UDC: 517.956.3
MSC: 35L25
Language: Russian
Citation: A. A. Andreev, J. O. Yakovleva, “The characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(30) (2013), 31–36
Citation in format AMSBIB
\Bibitem{AndYak13}
\by A.~A.~Andreev, J.~O.~Yakovleva
\paper The characteristic problem for the system of the general hyperbolic differential equations
of the third order with nonmultiple characteristics
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 1(30)
\pages 31--36
\mathnet{http://mi.mathnet.ru/vsgtu1182}
\crossref{https://doi.org/10.14498/vsgtu1182}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2013VSGTU..30...31A}
\elib{https://elibrary.ru/item.asp?id=19117427}
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    • This publication is cited in the following 11 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 :255
    References:80
    First page:2
     
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