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
\Bibitem{Kha18}
\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}
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Linking options:
https://www.mathnet.ru/eng/jsfu656
https://www.mathnet.ru/eng/jsfu/v11/i2/p231
This publication is cited in the following 2 articles:
Kudratillo Fayazov, Yashin Khudayberganov, Sergey Pyatkov, “Conditional Well-Posedness of the Initial-Boundary Value Problem for a System of Inhomogeneous Mixed Type Equations with Two Degeneration Lines”, J Math Sci, 274:2 (2023), 201
K. S. Fayazov, I. O. Khajiev, “Conditional correctness of the initial-boundary value problem for a system of high-order mixed-type equations”, Russian Math. (Iz. VUZ), 66:2 (2022), 53–63
Citation in format AMSBIB
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