Geodesic
On the unique solvability of a seminonlocal boundary value problem for the loaded Сhaplygin equation in a rectangle
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 31 (2020) no. 2, pp. 8-17

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In this work, under certain conditions on the coefficients of the loaded Chaplygin equation in a rectangle, the unique solvability of a seminonlocal boundary value problem in Sobolev space is proved.
Keywords: loaded Chaplygin equation, seminonlocal boundary-value problem, the correctness of the solution, methods of "e-regularization", Galerkin's and successive approximations. 
@article{VKAM_2020_31_2_a0,
     author = {S. Z. Djamalov and R. R. Ashurov and M. A. Sultanov and U. Sh. Ruziev},
     title = {On the unique solvability of a seminonlocal boundary value problem for the loaded {{\CYRS}haplygin} equation in a rectangle},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {8--17},
     publisher = {mathdoc},
     volume = {31},
     number = {2},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2020_31_2_a0/}
}
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S. Z. Djamalov; R. R. Ashurov; M. A. Sultanov; U. Sh. Ruziev. On the unique solvability of a seminonlocal boundary value problem for the loaded Сhaplygin equation in a rectangle. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 31 (2020) no. 2, pp. 8-17. http://geodesic.mathdoc.fr/item/VKAM_2020_31_2_a0/