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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2020, Volume 30, Number 1, Pages 20–30
DOI: https://doi.org/10.26117/2079-6641-2020-30-1-20-30 (Mi vkam389) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Solvability of a non–local problem for a third—order equation with the heat operator in the main par

O. S. Zikirov, M. M. Sagdullayeva

National University of Uzbekistan after named Mirzo Ulugbek
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DOI: https://doi.org/10.26117/2079-6641-2020-30-1-20-30
Abstract: In this paper, we considered the solvability of a nonlocal problem with integral condition for a thirdorder equation with head operatot in the main part. The existence and uniqueness of a regular solution to this problem are proved. The proof is based on reducing a non-local problem to the mixed problem for a loaded heat equation
Keywords: boundary–value problem, non–local condition, non–local problem, parabolic equation, Green's function, Volterra integral equation.
Document Type: Article
UDC: 517.956.4
MSC: Primary 35K20; Secondary 35K35
Language: Russian
Citation: O. S. Zikirov, M. M. Sagdullayeva, “Solvability of a non–local problem for a third—order equation with the heat operator in the main par”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 30:1 (2020), 20–30
Citation in format AMSBIB
\Bibitem{ZikSag20}
\by O.~S.~Zikirov, M.~M.~Sagdullayeva
\paper Solvability of a non--local problem for a third---order equation with the heat operator in the main par
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2020
\vol 30
\issue 1
\pages 20--30
\mathnet{http://mi.mathnet.ru/vkam389}
\crossref{https://doi.org/10.26117/2079-6641-2020-30-1-20-30}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Vestnik KRAUNC. Fiziko-Matematicheskie Nauki Vestnik KRAUNC. Fiziko-Matematicheskie Nauki
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