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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2017, Volume 21, Number 4, Pages 752–759
DOI: https://doi.org/10.14498/vsgtu1577 (Mi vsgtu1577) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Short Communication

The Cauchy problem for a system of the hyperbolic differential equations of the $n$-th order with the nonmultiple characteristics

A. A. Andreeva, J. O. Yakovlevab

a Samara State Technical University, Samara, 443100, Russian Federation
b Samara National Research University, Samara, 443086, Russian Federation
Full-text PDF (634 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/vsgtu1577
Abstract: In the paper the Cauchy problem is considered for the hyperbolic differential equation of the $n$-th order with the nonmultiple characteristics. The regular solution of the Cauchy problem for the hyperbolic differential equation of the $n$-th order with the nonmultiple characteristics is considered. In the paper the solution of the Cauchy problem for the system of the hyperbolic differential equations of the $n$-th order with the nonmultiple characteristics is considered. The existence and uniqueness theorem for the regular solution of the Cauchy problem for the system of the hyperbolic differential equations of the $n$-th order with the nonmultiple characteristics is considered as the result of the research.
Keywords: $n$-th order hyperbolic differential equation, system of the hyperbolic differential equations of the $n$-th order, nonmultiple characteristics, method of the general solutions, Cauchy problem, D'Alembert formula.
Received: November 17, 2017
Revised: December 13, 2017
Accepted: December 18, 2017
First online: December 25, 2017
Bibliographic databases:
Document Type: Article
UDC: 517.956.3
MSC: 35L56
Language: Russian
Citation: A. A. Andreev, J. O. Yakovleva, “The Cauchy problem for a system of the hyperbolic differential equations of the $n$-th order with the nonmultiple characteristics”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 21:4 (2017), 752–759
Citation in format AMSBIB
\Bibitem{AndYak17}
\by A.~A.~Andreev, J.~O.~Yakovleva
\paper The Cauchy problem for a system of the hyperbolic differential equations of the $n$-th order with the nonmultiple characteristics
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2017
\vol 21
\issue 4
\pages 752--759
\mathnet{http://mi.mathnet.ru/vsgtu1577}
\crossref{https://doi.org/10.14498/vsgtu1577}
\zmath{https://zbmath.org/?q=an:06964886}
\elib{https://elibrary.ru/item.asp?id=32712836}
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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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