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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2018, Number 4(24), Pages 208–212
DOI: https://doi.org/10.18454/2079-6641-2018-24-4-208-212 (Mi vkam323) 		 
INFORMATION AND COMPUTATION TECHNOLOGIES

A priori estimate of the solution of a boundary problem with the condition of Samara for the generalized third-order equation with multiple characteristics

A. M. Shkhagapsoev

Institute of Applied Mathematics and Automation KBSC RAS, 360000, KBR, Nalchik, st. Shortanova 89a
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DOI: https://doi.org/10.18454/2079-6641-2018-24-4-208-212
Abstract: The boundary value problems for the third-order equation of parabolic type with fractional derivative of Caputo are considered. The uniqueness and existence of a generalized solution of the boundary value problem with a non-local Samara condition for the equation with multiple characteristics with a spectral parameter is proved by the method of energy inequalities.
Keywords: a priori estimation, boundary value problem, Samara condition, fractional derivative, Caputo derivative, equations with multiple characteristics, energy integrals method, uniqueness of the solution.
Received: 29.03.2018
Bibliographic databases:
Document Type: Article
UDC: 517.954
MSC: 35M13
Language: Russian
Citation: A. M. Shkhagapsoev, “A priori estimate of the solution of a boundary problem with the condition of Samara for the generalized third-order equation with multiple characteristics”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2018, no. 4(24), 208–212
Citation in format AMSBIB
\Bibitem{Shk18}
\by A.~M.~Shkhagapsoev
\paper A priori estimate of the solution of a boundary problem with the condition of Samara for the generalized third-order equation with multiple characteristics
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2018
\issue 4(24)
\pages 208--212
\mathnet{http://mi.mathnet.ru/vkam323}
\crossref{https://doi.org/10.18454/2079-6641-2018-24-4-208-212}
\elib{https://elibrary.ru/item.asp?id=36707487}
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