Geodesic
On a nonlocal boundary value problem for the equation fourth-order in partial derivatives
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 37 (2021) no. 4, pp. 16-23 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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O. Sh. Kilichov. On a nonlocal boundary value problem for the equation fourth-order in partial derivatives. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 37 (2021) no. 4, pp. 16-23. http://geodesic.mathdoc.fr/item/VKAM_2021_37_4_a1/

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