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Vestnik KRAUNC. Fiz.-Mat. Nauki, 2016, Number 2(13), Pages 12–17
(Mi vkam125)
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This article is cited in 2 scientific papers (total in 2 papers)
MATHEMATICS
The linear inverse problem for the equation of Trikomi in three-dimensional space
S. Z. Djamalov Institute of Ìathematics, National University of Uzbekistan, Tashkent, 100125, Academgorodok, Do'rmon yo'li, 29 str.
Abstract:
In the present work the problems of correctness of a linear inverse problem for the Trikomi equation in three-dimensional space are considered. For this problem, the theorems on existence and uniqueness of the solution are proved in certain class by «$\varepsilon$-regularization» Galerkin and of successive approximations methods.
Keywords:
the Trikomi equations, a linear inverse problem, correctness of solution, Galerkin «$\varepsilon$-regularization» method, method of successive approximations
DOI:
https://doi.org/10.18454/2079-6641-2016-13-2-12-17
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English version:
Bulletin KRASEC. Physical and Mathematical Sciences, 2016, 13:2, 10–15
Bibliographic databases:
UDC:
517.946
MSC: 65M32 Received: 12.05.2016
Citation:
S. Z. Djamalov, “The linear inverse problem for the equation of Trikomi in three-dimensional space”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2016, no. 2(13), 12–17; Bulletin KRASEC. Phys. & Math. Sci., 13:2 (2016), 10–15
Citation in format AMSBIB
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\by S.~Z.~Djamalov
\paper The linear inverse problem for the equation of Trikomi in three-dimensional space
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2016
\issue 2(13)
\pages 12--17
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\crossref{https://doi.org/10.18454/2079-6641-2016-13-2-12-17}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3535551}
\elib{https://elibrary.ru/item.asp?id=26527423}
\transl
\jour Bulletin KRASEC. Phys. & Math. Sci.
\yr 2016
\vol 13
\issue 2
\pages 10--15
\crossref{https://doi.org/10.18454/2313-0156-2016-13-2-10-15}
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http://mi.mathnet.ru/eng/vkam125 http://mi.mathnet.ru/eng/vkam/y2016/i2/p12
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S. Z. Dzhamalov, “Ob odnoi obratnoi zadache dlya mnogomernogo uravneniya smeshannogo tipa pervogo roda, vtorogo poryadka s periodicheskimi usloviyami”, Vestnik KRAUNTs. Fiz.-mat. nauki, 2018, no. 4(24), 10–18
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S. N. Sidorov, “Obratnye zadachi dlya uravneniya smeshannogo parabolo-giperbolicheskogo tipa s vyrozhdayuscheisya parabolicheskoi chastyu”, Sib. elektron. matem. izv., 16 (2019), 144–157
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