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Journal of Siberian Federal University. Mathematics & Physics, 2018, Volume 11, Issue 2, Pages 231–241
DOI: https://doi.org/10.17516/1997-1397-2018-11-2-231-241 (Mi jsfu656) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Conditional correctness and approximate solution of boundary value problem for the system of second order mixed-type equations

Ikrombek O. Khajiev

Department of Applied Mathematics and Computer Analysis, National University of Uzbekistan, Universitetskaya, 4, Tashkent, 100174, Uzbekistan
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DOI: https://doi.org/10.17516/1997-1397-2018-11-2-231-241
Abstract: In this paper, we consider the system of second-order mixed type equations. Theorems of uniqueness and conditional stability in the set of correctness are proven. The approximate solution is constructed by the method of regularization and by the quasi-inverse method.
Keywords: system of equations, boundary value problem, ill-posed problem, a priori estimate, theorem of the uniqueness, conditional stability, set of correctness, approximate solution, regularization.
Received: 10.02.2017
Received in revised form: 10.06.2017
Accepted: 20.12.2017
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: English
Citation: Ikrombek O. Khajiev, “Conditional correctness and approximate solution of boundary value problem for the system of second order mixed-type equations”, J. Sib. Fed. Univ. Math. Phys., 11:2 (2018), 231–241
Citation in format AMSBIB
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\by Ikrombek~O.~Khajiev
\paper Conditional correctness and approximate solution of boundary value problem for the system of second order mixed-type equations
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2018
\vol 11
\issue 2
\pages 231--241
\mathnet{http://mi.mathnet.ru/jsfu656}
\crossref{https://doi.org/10.17516/1997-1397-2018-11-2-231-241}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000434678300013}
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    • This publication is cited in the following 2 articles:
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