Geodesic
The nonlocal boundary value problem with constant coefficients for the mixed-type equation of the second kind and of the second order in a rectangle
Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 19 (2017) no. 4, pp. 12-22

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In the present work for the second order mixed-type equation of the second kind we study one-valued solvability and smoothness of the generalized solution of nonlocal boundary value problem with constant coefficients in Sobolev spaces.
Keywords: second order mixed type equation of the second kind, nonlocal boundary value problem with constant coefficients, uniqueness, existence and smoothness of generalized solution, Sobolev space, Galerkin method, "$\varepsilon$-regularization" method. 
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     author = {S. Z. Djamalov},
     title = {The nonlocal boundary value problem with constant coefficients for the mixed-type equation of the second kind and of the second order in a rectangle},
     journal = {\v{Z}urnal Srednevol\v{z}skogo matemati\v{c}eskogo ob\^{s}estva},
     pages = {12--22},
     publisher = {mathdoc},
     volume = {19},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVMO_2017_19_4_a0/}
}
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S. Z. Djamalov. The nonlocal boundary value problem with constant coefficients for the mixed-type equation of the second kind and of the second order in a rectangle. Žurnal Srednevolžskogo matematičeskogo obŝestva, Tome 19 (2017) no. 4, pp. 12-22. http://geodesic.mathdoc.fr/item/SVMO_2017_19_4_a0/