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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2021, Volume 37, Number 4, Pages 10–15
DOI: https://doi.org/10.26117/2079-6641-2021-37-4-10-15 (Mi vkam503) 		 
MATHEMATICS

Cauchy problem for a substantially loaded hyperbolic equation

A. Kh. Attaev

Institute of Applied Mathematics and Automation KBSC RAS
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DOI: https://doi.org/10.26117/2079-6641-2021-37-4-10-15
Abstract: In this work, we study the Cauchy problem for a substantially loaded vibration equation of a one-dimensional string. Examples are given of characteristic manifolds for which the Cauchy problem is posed correctly, as well as non-characteristic manifolds for which the Cauchy problem is posed incorrectly.
Keywords: Cauchy problem, essentially loaded equation, characteristic manifold, regular solution, difference equation, domain of wave propagation, initial data.
Document Type: Article
UDC: 517.984.5
MSC: 35L10
Language: Russian
Citation: A. Kh. Attaev, “Cauchy problem for a substantially loaded hyperbolic equation”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 37:4 (2021), 10–15
Citation in format AMSBIB
\Bibitem{Att21}
\by A.~Kh.~Attaev
\paper Cauchy problem for a substantially loaded hyperbolic equation
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2021
\vol 37
\issue 4
\pages 10--15
\mathnet{http://mi.mathnet.ru/vkam503}
\crossref{https://doi.org/10.26117/2079-6641-2021-37-4-10-15}
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