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This article is cited in 3 scientific papers (total 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. Apakovab, S. M. Mamajanovb a 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.
Received: 02.07.2021 Revised: 02.07.2021 Accepted: 29.09.2021
Citation:
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”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 4, 3–14; Russian Math. (Iz. VUZ), 66:4 (2022), 1–11
Linking options:
https://www.mathnet.ru/eng/ivm9764 https://www.mathnet.ru/eng/ivm/y2022/i4/p3
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