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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 5, Pages 1098–1115
DOI: https://doi.org/10.17377/smzh.2018.59.511 (Mi smj3031) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Boundary value problems for odd order forward-backward-type differential equations with two time variables

A. I. Kozhanova, S. V. Potapovab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b North-Eastern Federal University, Institute of Mathematics, Yakutsk, Russia
Full-text PDF (324 kB) Citations (4)
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DOI: https://doi.org/10.17377/smzh.2018.59.511
Abstract: We study solvability of boundary value problems for odd order differential equations in time variables. The presence of a discontinuous alternating coefficient is a peculiarity of these equations. We prove existence and uniqueness theorems for the regular solutions of such an equation, i.e. those that have all Sobolev generalized derivatives entering the equation under study.
Keywords: ultraparabolic equation, forward-backward-type equation, discontinuous coefficients, boundary value problems, existence, uniqueness.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00620
Ministry of Education and Science of the Russian Federation
The first author was supported by the Russian Foundation for Basic Research (Grant 18-01-00620) and the second author was supported by the Ministry of Education and Science of the Russian Federation (the State Order for 2017–2019).
Received: 14.03.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 5, Pages 870–884
DOI: https://doi.org/10.1134/S0037446618050117
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: A. I. Kozhanov, S. V. Potapova, “Boundary value problems for odd order forward-backward-type differential equations with two time variables”, Sibirsk. Mat. Zh., 59:5 (2018), 1098–1115; Siberian Math. J., 59:5 (2018), 870–884
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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