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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
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
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
Linking options:
https://www.mathnet.ru/eng/ivm9469 https://www.mathnet.ru/eng/ivm/y2019/i6/p11
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Abstract page: | 364 | Full-text PDF : | 141 | References: | 52 | First page: | 13 |
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