### Solving the non-local boundary value problem for Laplace equations

Title Solving the non-local boundary value problem for Laplace equations Y. F. Nurgalieva1, Y. K. Sabitova11Sterlitamak branch of Bashkir State University A solution of the boundary value problem with a nonlocal condition for the Laplace equation in a rectangular domain is constructed. Theory of the problem is proved by using the method of spectral analysis. The solution of the problem is represented as the sum of a biorthogonal series. nonlocal condition, Laplace equation, boundary value problem, spectral analysis Nurgalieva Y. F., Sabitova Y. K. ''Solving the non-local boundary value problem for Laplace equations'' [Electronic resource]. Proceedings of the XIII International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 12-16, 2017). Saransk: SVMO Publ, 2017. - pp. 219-223. Available at: http://conf.svmo.ru/files/deamm2017/papers/paper31.pdf. - Date of access: 22.10.2021.