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News of the Kabardin-Balkar scientific center of RAS, 2017, Issue 6-1, Pages 10–14 (Mi izkab168)  

This article is cited in 1 scientific paper (total in 1 paper)

MATH MODELING. PHYSICS

A boundary value problem with the Samarsky integral condition for a first-order partial differential equation

F.T. Bogatyreva

Institute of Applied Mathematics and Automation – branch of the FSBSE "Federal Scientific Center "Kabardin-Balkar Scientific Center of the Russian Academy of Sciences", 360000, KBR, Nalchik, Shortanov street, 89 A
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Abstract: In this paper a representation of the solution of boundary value problem with integral condition for the first order partial differential equation with the Dzhrbashyan - Nersesyan operator is obtained. The existence and uniqueness theorem is proved.
Keywords: Partial differential equation, Dzhrbashyan and Nersesyan derivative, fractional integro-differentiation, integral condition.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00462
The work was carried out with the financial support of the RFBR grant (project 16-01-00462 A)
Received: 01.12.2017
Document Type: Article
UDC: 517.91
Language: Russian
Citation: F.T. Bogatyreva, “A boundary value problem with the Samarsky integral condition for a first-order partial differential equation”, News of the Kabardin-Balkar scientific center of RAS, 2017, no. 6-1, 10–14
Citation in format AMSBIB
\Bibitem{Bog17}
\by F.T.~Bogatyreva
\paper A boundary value problem with the Samarsky integral condition for a first-order partial differential equation
\jour News of the Kabardin-Balkar scientific center of RAS
\yr 2017
\issue 6-1
\pages 10--14
\mathnet{http://mi.mathnet.ru/izkab168}
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  • https://www.mathnet.ru/eng/izkab/y2017/i61/p10
  • This publication is cited in the following 1 articles:
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