The Tricomi problem for a third order hyperbolic equation degenerating inside the domain
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 3 (2018), pp. 67-75

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In this paper, we study the Tricomi problem for a third-order hyperbolic equation with degeneracy of order inside a mixed domain. The existence and uniqueness theorem for a regular solution is proved.
Keywords: degenerate hyperbolic equation, Tricomi problem, fractional integro-differentiation operator.
Mots-clés : Hallaire equation
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     author = {R. Kh. Makaova},
     title = {The {Tricomi} problem for a third order hyperbolic equation degenerating~inside the domain},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {67--75},
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R. Kh. Makaova. The Tricomi problem for a third order hyperbolic equation degenerating inside the domain. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 3 (2018), pp. 67-75. http://geodesic.mathdoc.fr/item/VKAM_2018_3_a7/