Title | Solving the non-local boundary value problem for Laplace equations |
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Authors | Y. F. Nurgalieva^{1}, Y. K. Sabitova^{1}^{1}Sterlitamak branch of Bashkir State University |

Annotation | 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. |

Keywords | nonlocal condition, Laplace equation, boundary value problem, spectral analysis |

Citation | 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: 24.08.2019. |

**© SVMO, National Research Mordovia State University, 2019**

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