This article is cited in 3 papers

Boundary value problem for a fourth-order equation of parabolic-hyperbolic type with multiple characteristics, whose slopes are greater than one

Yu. P. Apakov^ab, S. M. Mamajanov<sup>b

a</sup> Namangan Engineering Construction Institute, 12 Islam Karimov str., Namangan, 160103 Uzbekistan
^b Institute of Mathematics named after V.I. Romanovsky, 46 University str., Tashkent, 100174 Uzbekistan

Abstract: 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, solution composition method, continuation method, boundary value problem, parabolic-hyperbolic equation, unique solvability.

UDC: 517.956

Received: 02.07.2021
Revised: 02.07.2021
Accepted: 29.09.2021

DOI: 10.26907/0021-3446-2022-4-3-14

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2022, 66:4, 1–11