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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 3, Pages 603–618
DOI: https://doi.org/10.33048/smzh.2021.62.312 (Mi smj7581) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Boundary value and inverse problems for some classes of nonclassical operator-differential equations

S. G. Pyatkovab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Yugra State University, Khanty-Mansiisk, Russia
Full-text PDF (522 kB) Citations (4)
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DOI: https://doi.org/10.33048/smzh.2021.62.312
Abstract: We consider the solvability of boundary value problems and some inverse problems for operator-differential equations of odd order which can be referred to as mixed type equations since the coefficient of the higher order time derivative can change sign. Studying the general classes of boundary value problems with nonlocal boundary conditions, we establish the existence and uniqueness theorems of regular solutions under some conditions on data.
Keywords: operator-differential equation, nonlocal boundary value problem, inverse problem, mixed type equation.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00620_а
The author was supported by the Russian Foundation for Basic Research (Grant 18–01–00620).
Received: 13.12.2020
Revised: 13.12.2020
Accepted: 24.02.2021
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 3, Pages 489–502
DOI: https://doi.org/10.1134/S0037446621030125
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: S. G. Pyatkov, “Boundary value and inverse problems for some classes of nonclassical operator-differential equations”, Sibirsk. Mat. Zh., 62:3 (2021), 603–618; Siberian Math. J., 62:3 (2021), 489–502
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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