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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 6, Pages 11–22
DOI: https://doi.org/10.26907/0021-3446-2019-6-11-22 (Mi ivm9469) 		 
This article is cited in 12 scientific papers (total in 12 papers)

On one linear inverse problem for multidimensional equation of the mixed type of the first kind and of the second order

S. Z. Djamalovab, R. R. Ashurovac

a Institute of Mathematics, Uzbekistan Academy of Sciences, 81 Mirzo Ulugbek str., Akademgorodok, Tashkent, 100170 Republic of Uzbekistan
b Gubkin Russian State University of Oil and Gas of Tashkent, 34 Durmon yuli str., Tashkent, 100125 Republic of Uzbekistan
c National University of Uzbekistan named aftar M. Ulugbek, 4 University str., Tashkent, 100174 Republic of Uzbekistan
Full-text PDF (379 kB) Citations (12)
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DOI: https://doi.org/10.26907/0021-3446-2019-6-11-22
Abstract: In the present work we consider the problems of correctness of a linear inverse problem for the multidimensional equation of the mixed type of the first kind and of the second order. For this problem, the theorems on existence and uniqueness of the solution are proved in a certain class by "$\varepsilon $-regularization", a priori estimations and of successive approximations methods.
Keywords: multidimensional equation of mixed type of first kind, second order, linear inverse problem, correctness of solution, "$\varepsilon$-regularization", a priori estimation successive approximation method.
Received: 10.05.2018
Revised: 10.05.2018
Accepted: 26.09.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 6, Pages 8–18
DOI: https://doi.org/10.3103/S1066369X19060021
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: S. Z. Djamalov, R. R. Ashurov, “On one linear inverse problem for multidimensional equation of the mixed type of the first kind and of the second order”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 6, 11–22; Russian Math. (Iz. VUZ), 63:6 (2019), 8–18
Citation in format AMSBIB
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\paper On one linear inverse problem for multidimensional equation of the mixed type of the first kind and of the second order
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2019
\issue 6
\pages 11--22
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\jour Russian Math. (Iz. VUZ)
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\vol 63
\issue 6
\pages 8--18
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    • This publication is cited in the following 12 articles:
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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