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 Eurasian Math. J., 2018, Volume 9, Number 3, Pages 14–24 (Mi emj302)

On the unique solvability of nonlocal problems with integral conditions for a hybrid system of partial differential equations

A. T. Assanovaa, A. P. Sabalakhovab

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, M. Auezov South-Kazakhstan State University, 5 Tauke Khan St, 160012 Shymkent, Kazakhstan

Abstract: A nonlocal problem with integral conditions for a hybrid system of partial differential equations is investigated. Based on the results for nonlocal problems for a system of hyperbolic equations coefficient conditions are established ensuring the existence of classical solutions to a nonlocal problem with integral conditions for a hybrid system of partial differential equations, and algorithms of finding such solutions are suggested.

Keywords and phrases: hybrid system, nonlocal problem, integral condition, solvability, algorithm.

DOI: https://doi.org/10.32523/2077-9879-2018-9-3-14-24

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Bibliographic databases:

MSC: 34A38, 34B10, 34K34, 35G45, 35L50
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Citation: A. T. Assanova, A. P. Sabalakhova, “On the unique solvability of nonlocal problems with integral conditions for a hybrid system of partial differential equations”, Eurasian Math. J., 9:3 (2018), 14–24

Citation in format AMSBIB
\Bibitem{AssSab18} \by A.~T.~Assanova, A.~P.~Sabalakhova \paper On the unique solvability of nonlocal problems with integral conditions for a hybrid system of partial differential equations \jour Eurasian Math. J. \yr 2018 \vol 9 \issue 3 \pages 14--24 \mathnet{http://mi.mathnet.ru/emj302} \crossref{https://doi.org/10.32523/2077-9879-2018-9-3-14-24} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000451144400002} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85057742703}