Geodesic
On a boundary value problem for a third-order equation of parabolic-hyperbolic type
Sibirskij žurnal industrialʹnoj matematiki, Tome 25 (2022) no. 3, pp. 93-103

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We consider one boundary value problem for a parabolic-hyperbolic type equation in a triangular domain with three lines of type change, when the characteristic of the first-order operator is parallel to the axis $y$. The theorem of existence and uniqueness of the solution of the formulated problem is proved.
Keywords: differential and integral equations, solution construction method, boundary value problem, parabolic-hyperbolic type equation, unique solvability. . 
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     author = {M. Mamajonov and H. M. Shermatova},
     title = {On a boundary value problem for a third-order equation of parabolic-hyperbolic type},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {93--103},
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     url = {http://geodesic.mathdoc.fr/item/SJIM_2022_25_3_a8/}
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M. Mamajonov; H. M. Shermatova. On a boundary value problem for a third-order equation of parabolic-hyperbolic type. Sibirskij žurnal industrialʹnoj matematiki, Tome 25 (2022) no. 3, pp. 93-103. http://geodesic.mathdoc.fr/item/SJIM_2022_25_3_a8/