Geodesic
A boundary value problem with an offset for a model equation of mixed type in an unbounded domain
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 30 (2020) no. 1, pp. 31-41

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In this paper, for a mixed type equation in an unbounded region, the elliptical part of which is a horizontal strip, we study the problem with a shift on the characteristics of different families. The uniqueness of the solution of the problem is proved by the method of energy integrals, and the existence of a solution of the problem by the method of Green functions and the method of integral equations.
Keywords: bias problem, mixed type equation, unlimited domain, Green's function method, integral equation method, energy integral method. 
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     author = {R. T. Zunnunov and J. A. Tolibjonov},
     title = {A boundary value problem with an offset for a model equation of mixed type in an unbounded domain},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {31--41},
     publisher = {mathdoc},
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     number = {1},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2020_30_1_a2/}
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R. T. Zunnunov; J. A. Tolibjonov. A boundary value problem with an offset for a model equation of mixed type in an unbounded domain. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 30 (2020) no. 1, pp. 31-41. http://geodesic.mathdoc.fr/item/VKAM_2020_30_1_a2/