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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 2, Pages 27–43
DOI: https://doi.org/10.26907/0021-3446-2021-2-27-43 (Mi ivm9646) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On continuation of solutions of generalized Cauchy–Riemann system in an unbounded subdomain of multidimensional space

E. N. Sattorov, F. E. Ermamatova

Samarkand State University, 15 Univrsitetskii blvd., Samarkand, 140104 Republic of Uzbekistan
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DOI: https://doi.org/10.26907/0021-3446-2021-2-27-43
Abstract: In this paper we consider the problem of reconstructing solutions to a generalized Cauchy-Riemann system in a many-dimensional spatial unbounded domain from their values on a part of the domain boundary, i.e., we construct an approximate solution to this problem with the help of the Carleman-Yarmuhamedov matrix method.
Keywords: generalized Cauchy–Riemann system, ill-posed problems, regularized solution, approximate solution, Carleman-Yarmuhamedov matrix.
Received: 08.04.2020
Revised: 17.09.2020
Accepted: 24.12.2020
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 2, Pages 22–38
DOI: https://doi.org/10.3103/S1066369X21020031
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: E. N. Sattorov, F. E. Ermamatova, “On continuation of solutions of generalized Cauchy–Riemann system in an unbounded subdomain of multidimensional space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 2, 27–43; Russian Math. (Iz. VUZ), 65:2 (2021), 22–38
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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