### The nonlocal boundary value problem with constant coefficients for the mixed type of equation of the second kind the second order in a rectangle

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 S. Z. Dzhamalov11Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent 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. second order mixed type equation of the second kind, Sobolev space, Galerkin's and "$\varepsilon$-regularization" methods 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: 15.08.2020.