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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, 2012, Issue 3(28), Pages 180–183
DOI: https://doi.org/10.14498/vsgtu1108 (Mi vsgtu1108) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Short Communication
Differential Equations

One characteristic problem for the general hyperbolic differential equation of the third order with nonmultiple characteristics

J. O. Yakovleva

Samara State Technical University, Samara, Russia
Full-text PDF (126 kB) Citations (7)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1108
Abstract: In the paper we consider the well-posed characteristic problem for the general hyperbolic differential equation of the third order with nonmultiple characteristics. The solution of this problem is constructed in an explicit form. The illustrative example of the Hadamard ill-posedness of the Goursat problem for the hyperbolic differential equation of the third order with nonmultiple characteristics is given.
Keywords: hyperbolic differential equation of the third order, nonmultiple characteristics, characteristic problem, Hadamard well-posedness.
Original article submitted 04/VII/2012
revision submitted – 27/VIII/2012
Bibliographic databases:
Document Type: Article
UDC: 517.956.3
Language: Russian
Citation: J. O. Yakovleva, “One characteristic problem for the general hyperbolic differential equation 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.], 3(28) (2012), 180–183
Citation in format AMSBIB
\Bibitem{Yak12}
\by J.~O.~Yakovleva
\paper One characteristic problem for the general hyperbolic differential equation 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 2012
\vol 3(28)
\pages 180--183
\mathnet{http://mi.mathnet.ru/vsgtu1108}
\crossref{https://doi.org/10.14498/vsgtu1108}
\zmath{https://zbmath.org/?q=an:1326.35181}
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  • https://www.mathnet.ru/eng/vsgtu/v128/p180
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Full-text PDF :225
    References:82
    First page:1
     
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