Geodesic
A nonlocal problem for a generalized Trikomi equation with a spectral parameter in the unbounded domain
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 35 (2021) no. 2, pp. 17-26

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In this article, we study a nonlocal problem for the generalized Tricomi equation with a spectral parameter in an unbounded domain, the elliptic part of which is the upper half-plane. The uniqueness of the solution to the problem posed is proved by the method of energy integrals. The existence of a solution to the problem is proved by the method of Green's functions and integral equations.
Keywords: non-local problem, unbounded domain, generalized Tricomi equation with spectral parameter, energy integrals method, Green's function method, integral equations method. 
@article{VKAM_2021_35_2_a1,
     author = {R. T. Zunnunov},
     title = {A nonlocal problem for a generalized {Trikomi} equation with a spectral parameter in the unbounded domain},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {17--26},
     publisher = {mathdoc},
     volume = {35},
     number = {2},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2021_35_2_a1/}
}
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R. T. Zunnunov. A nonlocal problem for a generalized Trikomi equation with a spectral parameter in the unbounded domain. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 35 (2021) no. 2, pp. 17-26. http://geodesic.mathdoc.fr/item/VKAM_2021_35_2_a1/