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This article is cited in 1 scientific paper (total in 1 paper)
MATHEMATICS
On a nonlocal boundary value problem for the equation fourth-order in partial derivatives
O. Sh. Kilichov Institut of Mathematics named after V. I. Romanovskiy Academy of Sciences of the Republic Uzbekistan
Abstract:
In this article, we study a nonlocal problem for a fourth-order equation in which the existence and uniqueness of a solution to this problem is proved. The solution is constructed explicitly in the form of a Fourier series; the absolute and uniform convergence of the obtained series and the possibility of term-by-term differentiation of the solution with respect to all variables are substantiated. A criterion for the unique solvability of the stated boundary value problem is established.
Keywords:
boundary value problem, Fourier method, existence and uniqueness of the solution.
Citation:
O. Sh. Kilichov, “On a nonlocal boundary value problem for the equation fourth-order in partial derivatives”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 37:4 (2021), 16–23
Linking options:
https://www.mathnet.ru/eng/vkam504 https://www.mathnet.ru/eng/vkam/v37/i4/p16
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Abstract page: | 116 | Full-text PDF : | 55 | References: | 26 |
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