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Sibirskii Matematicheskii Zhurnal, 2020, Volume 61, Number 4, Pages 777–795
DOI: https://doi.org/10.33048/smzh.2020.61.405 (Mi smj6019) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On some boundary value problems for multidimensional higher order equations of mixed type

S. Z. Djamalovab, S. G. Pyatkovcd

a V. I. Romanovskiy Institute of Mathematcs of the Academy of Sciences of Uzbekistan
b Branch of Gubkin Russian State University of Oil and Gaz (National research University) in Tashkent
c Yugra State University, Khanty-Mansiysk
d Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (487 kB) Citations (3)
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DOI: https://doi.org/10.33048/smzh.2020.61.405
Abstract: We describe the statements of boundary value problems for multidimensional higher order equations of mixed type and propose a method for constructing coercive boundary value problems. Also, we prove the generalized and regular solvability of these boundary value problems in Sobolev spaces.
Keywords: mixed type equation, nonlocal boundary value problem, boundary value problem, generalized solution, regular solution, uniqueness, existence.
Funding agency Grant number
Russian Foundation for Basic Research 18-51-41009_Узб_т
The authors were supported by the Russian Foundation for Basic Research (Grant 18–51–41009).
Received: 19.12.2019
Revised: 19.12.2019
Accepted: 19.02.2020
English version:
Siberian Mathematical Journal, 2020, Volume 61, Issue 4, Pages 610–625
DOI: https://doi.org/10.1134/S0037446620040059
Bibliographic databases:
Document Type: Article
UDC: 517.95
MSC: 35R30
Language: Russian
Citation: S. Z. Djamalov, S. G. Pyatkov, “On some boundary value problems for multidimensional higher order equations of mixed type”, Sibirsk. Mat. Zh., 61:4 (2020), 777–795; Siberian Math. J., 61:4 (2020), 610–625
Citation in format AMSBIB
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\paper On some boundary value problems for multidimensional higher order equations of mixed type
\jour Sibirsk. Mat. Zh.
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\vol 61
\issue 4
\pages 777--795
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\crossref{https://doi.org/10.33048/smzh.2020.61.405}
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\transl
\jour Siberian Math. J.
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\pages 610--625
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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