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Найденный: 9 Экземпляр 0.000 sn
Факультет / Институт [1]
Год публикации [7]
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Вид индекса 2 [1]
Национальный/Международный [1]
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Ordinary differential equations with power boundary layers

Asan ÖMÜRALİEV | Ella ABILAYEVA

The regularized asymptotics of a solution of the Cauchy problem for systems of singularly perturbed ordinary differential equations is constructed. It is shown that a power boundary layer appears in such problems in addition to other boundary layers.

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Regularization of the Singularly Perturbed Cauchy Problem for a Hyperbolic System

Asan ÖMÜRALİEV | Ella ABILAYEVA

In this paper we construct the asymptotics of the solution of the Cauchy problem for a singularly perturbed hyperbolic system by using the regularization method for singularly perturbed problems of S.A. Lomov. The regularization method for singularly perturbed problems of S.A. Lomov is used for the first time to construct the asymptotic solution of a hyperbolic system.

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Асимптотика решения параболической задачи при отсутствии спектра предельного оператора = Asymptotics of the solution to a parabolic problem with the limit operator having no spectra

Asan ÖMÜRALİEV

Строится регуляризованная асимптотика решения сингулярно возмущенной двумерной параболической задачи, когда предельный оператор не имеет спектра. В отличие от скалярной задачи, асимптотика решения двумерной задачи дополнительно содержит угловые параболические пограничные функции, которые описываются произведением параболических пограничных функций.

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Asymptotics of solutions to the time-dependent Schrödinger equation with a small Planck constant

Asan ÖMÜRALİEV

A regularized asymptotics of the solution to the time-dependent Schrödinger equation in which the spatial derivative is multiplied by a small Planck constant is constructed. It is shown that the asymptotics of the solution contains a rapidly oscillating boundary layer function. - Keywords: singularly perturbed time-dependent Schrödinger equation regularized asymptotics solutions

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Regularization of a two-dimensional singularly perturbed parabolic problem

Asan ÖMÜRALİEV

A regularized asymptotic expansion of the solution to a singularly perturbed two-dimensional parabolic problem in domains with boundaries containing corner points is constructed. The asymptotics of solutions to such problems contain ordinary boundary-layer functions, parabolic boundary-layer functions, and their products, which describe a corner boundary layer. - Keywords: singularly perturbed parabolic problems parabolic boundary layer regularized asymptotics

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Регуляризация двумерной сингулярно возмущенной параболической задачи / Regularization of a Two-Dimensional Singularly Perturbed Parabolic Problem

Asan ÖMÜRALİEV

Строится регуляризованная асимптотика решения сингулярно возмущенной двумерной параболической задачи в областях с угловыми точками границы. Асимптотика решения таких задач содержит как обыкновенные погранслойные функции, так и параболические погранслойные функции и их произведения, которые описывают угловой пограничный слой.

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Singularly Perturbed Parabolic Problem with Oscillating Initial Condition

Asan ÖMÜRALİEV | Ella ABILAYEVA

The aim of this paper is to construct regularized asymptotics of the solution of a singularly perturbed parabolic problem with an oscillating initial condition. The presence of a rapidly oscillating function in the initial condition has led to the appearance of a boundary layer function in the solution, which has the rapidly oscillating character of the change. In addition, it is shown that the asymptotics of the solution contains exponential, parabolic boundary layer functions and their products describing the angular boundary layers. Continuing the ideas of works [1, 3] a complete regularize ...Более

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Singularly Perturbed System of Parabolic Equations in the Critical Case

Asan ÖMÜRALİEV

We examine a system of singularly perturbed parabolic equations in the case where the small parameter is involved as a coefficient of both time and spatial derivatives and the spectrum of the limit operator has a multiple zero point. In such problems, corner boundary layers appear, which can be described by products of exponential and parabolic boundary-layer functions. Under the assumption that the limit operator is a simple-structure operator, we construct a regularized asymptotics of a solution, which, in addition to corner boundary-layer functions, contains exponential and parabolic boudar ...Более

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Parabolic Problem with a Power-Law Boundary Layer

Asan ÖMÜRALİEV | Ella ABILAYEVA | Peyil Esengul Kızı

We construct a regularized asymptotics of the solution of the first boundary value problem for a singularly perturbed two-dimensional differential equation of the parabolic type for the case in which the limit equation has a regular singularity. There arise power-law and corner boundary layers along with parabolic ones in such problems.

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