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 Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018, Number 4(24), Pages 10–18 (Mi vkam303)

MATHEMATICS

On an inverse problem for the multidimensional equation mixed type of the first kind of the second order with periodic conditions

S. Z. Djamalov

Institute of Mathematics, Uzbekistan Academy of Sciences, M. Ulugbek, 81 str. Tashkent, 100170, Uzbekistan

Abstract: In the present work, the problems of correctness of inverse problem for the multidimensional equation mixed type of the first kind of the second order with periodic conditions are considered. For this problem, the theorems on existence and uniqueness of the solution are proved in a certain class by "$\varepsilon$-regularization" a priori estimations and of successive approximations methods.

Keywords: The multidimensional equation mixed type of the first kind of the second order, inverse problem, correctness of solution, $\varepsilon$-method, method of successive approximations, method a priori estimations.

DOI: https://doi.org/10.18454/2079-6641-2018-24-4-10-18

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UDC: 517.956.6
MSC: 35M10, 35M20

Citation: S. Z. Djamalov, “On an inverse problem for the multidimensional equation mixed type of the first kind of the second order with periodic conditions”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018, no. 4(24), 10–18

Citation in format AMSBIB
\Bibitem{Dja18} \by S.~Z.~Djamalov \paper On an inverse problem for the multidimensional equation mixed type of the first kind of the second order with periodic conditions \jour Vestnik KRAUNC. Fiz.-Mat. Nauki \yr 2018 \issue 4(24) \pages 10--18 \mathnet{http://mi.mathnet.ru/vkam303} \crossref{https://doi.org/10.18454/2079-6641-2018-24-4-10-18} \elib{http://elibrary.ru/item.asp?id=36707467}