Geodesic
A boundary value problem with a displacement for the generalized equation of Trikomi with a spectral parameter in an unbounded domain
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 32 (2020) no. 3, pp. 55-64

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In this paper, for the generalized Tricomi equation with a spectral parameter in an unbounded domain, the elliptical part of which is a horizontal strip, we study a problem with a shift on the characteristics of different families. The uniqueness of the solution to the problem is proved by the method of energy integrals, and the existence of the solution to the problem by the method of Green's functions and the method of integral equations
Keywords: problem with displacement, generalized Tricomi equation, mixed-type equation, unbounded domain, method of Green's functions, method of integral equations, method of energy integrals. 
@article{VKAM_2020_32_3_a4,
     author = {R. T. Zunnunov and I. U. Khaydarov},
     title = {A boundary value problem with a displacement for the generalized equation of {Trikomi} with a spectral parameter in an unbounded domain},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {55--64},
     publisher = {mathdoc},
     volume = {32},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2020_32_3_a4/}
}
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R. T. Zunnunov; I. U. Khaydarov. A boundary value problem with a displacement for the generalized equation of Trikomi with a spectral parameter in an unbounded domain. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 32 (2020) no. 3, pp. 55-64. http://geodesic.mathdoc.fr/item/VKAM_2020_32_3_a4/