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Inner boundary value problem with displacement for a second order mixed parabolic-hyperbolic equation [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
This paper investigates inner boundary value problems with a shift for a second-order mixed-hyperbolic equation consisting of a wave operator in one part of the domain and a degenerate hyperbolic operator of the first kind in the other part.
Zh.A. Balkizov   +2 more
doaj   +2 more sources

The problem with shift for a degenerate hyperbolic equation of the first kind [PDF]

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021
For a degenerate first-order hyperbolic equation of the second order containing a term with a lower derivative, we study two boundary value problems with an offset that generalize the well-known first and second Darboux problems. Theorems on an existence
Zhiraslan A. Balkizov
doaj   +1 more source

On the unique solvability of a nonlocal boundary value problem with the poincaré condition [PDF]

open access: yesE3S Web of Conferences, 2023
As is known, it is customary in the literature to divide degenerate equations of mixed type into equations of the first and second kind. In the case of an equation of the second kind, in contrast to the first, the degeneracy line is simultaneously the ...
Abdullaev A. A.   +2 more
doaj   +1 more source

Boundary value problems with displacement for one mixed hyperbolic equation of the second order

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
The paper studies two nonlocal problems with a displacement for the conjugation of two equations of second-order hyperbolic type, with a wave equation in one part of the domain and a degenerate hyperbolic equation of the first kind in the other part. As
Zh.A. Balkizov
doaj   +1 more source

Solvability of a nonlocal problem for a hyperbolic equation with degenerate integral conditions

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019
In this paper, we consider a nonlocal problem with integral conditions for hyperbolic equation. Close attention focuses on degenerate integral conditions, namely, on the second kind integral conditions which degenerate into the first kind conditions at ...
Ludmila Stepanovna Pulkina   +1 more
doaj   +1 more source

A boundary value problem for a third order hyperbolic equation with degeneration of order inside the domain

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
In this paper we study the boundary value problem for a degenerating third order equation of hyperbolic type in a mixed domain. The equation under consideration in the positive part of the domain coincides with the Hallaire equation, which is a ...
Ruzanna Kh Makaova
doaj   +1 more source

Mixed problem for a third order parabolic-hyperbolic model equation

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
In 1978, the journal Differential Equations published an article by A.M. Nakhushev, that presented a method for correctly formulating a boundary value problem for a class of second-order parabolic-hyperbolic equations in an arbitrarily bounded domain ...
Zh.A. Balkizov
doaj   +1 more source

Analytical, numerical, and biomedical aspects of boundary value problems for third-order elliptic-type equations with singular coefficients

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
Mathematical modeling of various real-world processes frequently leads to boundary value problems (BVPs) for third-order partial differential equations of mixed and composite types, which have no classical analogues in mathematical physics. Foundational
N.K. Ochilova, D.B. Eshmamatova
doaj   +1 more source

Первая краевая задача для модельного уравнения параболо-гиперболического типа третьего порядка

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki
В 1978 году в журнале «Дифференциальные уравнения» была опубликована статья А.М. Нахушева, где дана методика правильной постановки краевой задачи для класса уравнений параболо-гиперболического типа второго порядка в произвольной ограниченной области Ω с ...
Балкизов, Ж.А.
doaj   +1 more source

Nonlocal problems for hyperbolic equations with degenerate integral conditions

open access: yesElectronic Journal of Differential Equations, 2016
In this article, we consider a problem for hyperbolic equation with standard initial data and nonlocal condition. A distinct feature of this problem is that the nonlocal second kind integral condition degenerates and turns into a first kind.
Ludmila S. Pulkina
doaj  

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