Geodesic
Boundary value problem for a fourth-order equation of parabolic-hyperbolic type with multiple characteristics, whose slopes are greater than one
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2022), pp. 3-14

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In this paper, we set and study a boundary value problem for a fourth-order equation of parabolic-hyperbolic type with multiple characteristics, the slope of the first-order operator of which is greater than one, in a pentagonal domain. The unique solvability of the problem is proved by the method of direct composition of the solution.
Keywords: differential and integral equations, continuation method, boundary value problem, parabolic-hyperbolic equation, unique solvability.
Mots-clés : solution composition method 
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     author = {Yu. P. Apakov and S. M. Mamajanov},
     title = {Boundary value problem for a fourth-order equation of parabolic-hyperbolic type with multiple characteristics, whose slopes are greater than one},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--14},
     publisher = {mathdoc},
     number = {4},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2022_4_a0/}
}
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Yu. P. Apakov; S. M. Mamajanov. Boundary value problem for a fourth-order equation of parabolic-hyperbolic type with multiple characteristics, whose slopes are greater than one. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2022), pp. 3-14. http://geodesic.mathdoc.fr/item/IVM_2022_4_a0/