Title | The nonlocal boundary value problem with constant coefficients for the mixed type of equation of the second kind the second order in a rectangle |
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Authors | S. Z. Dzhamalov^{1}^{1}Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent |

Annotation | In the present work for the second order mixed type equation of the second kind we study unique solvability and smoothness of the generalized solution of nonlocal boundary value problem with constant coefficients in Sobolev,s spaces. |

Keywords | second order mixed type equation of the second kind, Sobolev space, Galerkin's and "$\varepsilon$-regularization" methods |

Citation | Dzhamalov S. Z. ''The nonlocal boundary value problem with constant coefficients for the mixed type of equation of the second kind the second order in a rectangle'' [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. 45-54. Available at: http://conf.svmo.ru/files/deamm2017/papers/paper07.pdf. - Date of access: 24.10.2020. |

**© SVMO, National Research Mordovia State University, 2020**

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