Yu. P. Apakov, S. M. Mamajonov, “Solvability of one boundary value problem for a fourth-order equation of parabola-hyperbolic type in a pentagonal domain ”, Sib. Zh. Ind. Mat., 2021, Volume 24, Number 4,Pages <nobr>25

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Solvability of one boundary value problem for a fourth-order equation of parabola-hyperbolic type in a pentagonal domain

Yu. P. Apakov^ab, S. M. Mamajonov^a

^a Romanovsky Institute of Mathematics, Tashkent, 100170, Uzbekistan
^b Namangan Civil Engineering Institute, ul. Islam Karimov 12, Namangan 160103, Uzbekistan

Abstract: Correct boundary value problems for the equation of the fourth order of parabolic-hyperbolic type in the pentagonal area are set. The unambiguous resolvability of the objective is proved by methods of direct creation of the decision.

Keywords: differential and integral equations, method of creation of the decision, boundary value problem, parabolic-hyperbolic equations, unambiguous resolvability. .

UDC: 517.956.6

Received: 22.06.2021
Revised: 18.08.2021
Accepted: 21.10.2021

DOI: 10.33048/SIBJIM.2021.24.402