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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
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.
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
Linking options:
https://www.mathnet.ru/eng/vkam389 https://www.mathnet.ru/eng/vkam/v30/i1/p20
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Abstract page: | 228 | Full-text PDF : | 112 | References: | 19 |
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