Geodesic
Nonlocal problem for a mixed type differential equation in rectangular domain
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2016), pp. 70-78

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In the article the questions of solvability and construction of the solution of nonlocal mixed value problem for a homogeneous mixed type differential equa tion are considered. The spectral method based on the separation of variables is used. A criterion for a single-valued solvability of the considered problem is installed. Under this criterion the single-valued solvability of the problem is proved. The existence of problem solutions in the case of uniqueness failure is studied, also.
Keywords: mixed value problem, mixed type differential equation, integral condition, one valued solvability. 
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     author = {T. K. Yuldashev},
     title = {Nonlocal problem for a mixed type differential equation in rectangular domain},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {70--78},
     publisher = {mathdoc},
     number = {3},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2016_3_a12/}
}
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T. K. Yuldashev. Nonlocal problem for a mixed type differential equation in rectangular domain. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2016), pp. 70-78. http://geodesic.mathdoc.fr/item/UZERU_2016_3_a12/