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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 2, Pages 62–75
DOI: https://doi.org/10.26907/0021-3446-2022-2-62-75 (Mi ivm9751) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Conditional correctness of the initial-boundary value problem for a system of high-order mixed-type equations

K. S. Fayazova, I. O. Khajievba

a Turin Polytechnic University in Tashkent, 17 Kichik Khalka Yuli str., Tashkent, 100195 Republic of Uzbekistan
b National University of Uzbekistan, 4 Universitet str., Tashkent, 100174 Republic of Uzbekistan
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DOI: https://doi.org/10.26907/0021-3446-2022-2-62-75
Abstract: We investigate an ill-posed boundary value problem for a differential equation and a system of high-order partial differential equations with one line of degeneration. An a priori estimate of the solution is obtained by the method of logarithmic convexity. Theorems of uniqueness and conditional stability of the solution on the set of well-posedness of the problem under study are proved.
Keywords: boundary value problem, system of mixed type equations, ill-posed problem, a priori estimate, estimate of conditional stability, uniqueness, set of correctness.
Received: 24.04.2021
Revised: 12.06.2021
Accepted: 29.06.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 2, Pages 53–63
DOI: https://doi.org/10.3103/S1066369X22020025
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: K. S. Fayazov, I. O. Khajiev, “Conditional correctness of the initial-boundary value problem for a system of high-order mixed-type equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 2, 62–75; Russian Math. (Iz. VUZ), 66:2 (2022), 53–63
Citation in format AMSBIB
\Bibitem{FayKha22}
\by K.~S.~Fayazov, I.~O.~Khajiev
\paper Conditional correctness of the initial-boundary value problem for a system of high-order mixed-type equations
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 2
\pages 62--75
\mathnet{http://mi.mathnet.ru/ivm9751}
\crossref{https://doi.org/10.26907/0021-3446-2022-2-62-75}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4553485}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 2
\pages 53--63
\crossref{https://doi.org/10.3103/S1066369X22020025}
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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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