Geodesic
A boundary value problem with displacement for a model equation of a parabolic-hyperbolic type of the third order
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 28 (2019) no. 3, pp. 6-15

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In this paper, a boundary value problem for a model inhomogeneous mixed parabolic-hyperbolic type equation of third order is investigated. A theorem on uniqueness and the existence of a regular solution of the problem under investigation is proved. The solution of the investigated problem is written out in an explicit form.
Keywords: mixed type equation, third-order equation with multiple characteristics, Tricomi method.
Mots-clés : Aller equation 
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     author = {V. A. Vogahova and A. Kh. Balkizova},
     title = {A boundary value problem with displacement for a model equation of a parabolic-hyperbolic type of the third order},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {6--15},
     publisher = {mathdoc},
     volume = {28},
     number = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2019_28_3_a0/}
}
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V. A. Vogahova; A. Kh. Balkizova. A boundary value problem with displacement for a model equation of a parabolic-hyperbolic type of the third order. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 28 (2019) no. 3, pp. 6-15. http://geodesic.mathdoc.fr/item/VKAM_2019_28_3_a0/