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Eurasian Mathematical Journal, 2015, Volume 6, Number 4, Pages 19–28 (Mi emj207)  
This article is cited in 11 scientific papers (total in 11 papers)

On conditions of the solvability of nonlocal multi-point boundary value problems for quasi-linear systems of hyperbolic equations

A. T. Assanovaa, A. E. Imanchievb

a Department of Differential Equations, Institute of Mathematics and Mathematical Modeling MES RK, 125 Pushkin St., 050010 Almaty, Kazakhstan
b Faculty of Physics and Mathematics, K. Zhubanov Aktobe Regional State University, 34 A. Moldagulova St., Aktobe 030000, Kazakhstan
Full-text PDF (353 kB) Citations (11)
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Abstract: A nonlocal multi-point boundary value problem for a system of quasi-linear hyperbolic equations is investigated. Based on the results for linear problems coefficient conditions are established ensuring the existence of classical solutions to nonlocal multi-point boundary value problem for a system of quasi-linear hyperbolic equations, and algorithms of finding these solutions are suggested.
Keywords and phrases: nonlocal problem, multi-point condition, quasi-linear hyperbolic equation, solvability.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 0822/ΓΦ 4
This work supported by Grant No. 0822/ΓΦ 4 (2015-2017) of the Science Committee of the Ministry of education and Science of the Republic of Kazakhstan.
Received: 18.06.2015
Bibliographic databases:
Document Type: Article
MSC: 35L20, 35L55, 34B08, 35L72
Language: English
Citation: A. T. Assanova, A. E. Imanchiev, “On conditions of the solvability of nonlocal multi-point boundary value problems for quasi-linear systems of hyperbolic equations”, Eurasian Math. J., 6:4 (2015), 19–28
Citation in format AMSBIB
\Bibitem{AssIma15}
\by A.~T.~Assanova, A.~E.~Imanchiev
\paper On conditions of the solvability of nonlocal multi-point boundary value problems for quasi-linear systems of hyperbolic equations
\jour Eurasian Math. J.
\yr 2015
\vol 6
\issue 4
\pages 19--28
\mathnet{http://mi.mathnet.ru/emj207}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000380173800002}
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