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Найденный: 14 Экземпляр 0.002 sn
Коллекция : Technical, Science a ... ✕Ученые : Ella ABILAYEVA ✕
Коллекция [1]
Ученые [8]
Устойчивое развитие ООН [3]
Факультет / Институт [1]
Вид публикации [2]
Год публикации [7]
Язык [2]
Источник [8]
Базы данных [8]
Вид индекса [6]
Вид индекса 2 [1]
Издатель [5]
Кафедра [1]
Национальный/Международный [2]
Тематический рубрикатор [30]
Araştırma Görevlisi Ella ABILAYEVAFen Fakültesi
Technical, Science and Applied SciencesКыргызско-Турецкий университет «Манас» Коллекция учреждения
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Asymptotics of the solution of the hyperbolic system with a small parameter

Asan ÖMÜRALİEV | Ella ABILAYEVA

Asymptotic study of singularly perturbed differential equations of hyperbolic type has received relatively little attention from researchers. In this paper, the asymptotic solution of the singularly perturbed Cauchy problem for a hyperbolic system is constructed. In addition, the regularization method for singularly perturbed problems of S. A. Lomov is used for the first time for the asymptotic solution of a hyperbolic system. It is shown that this approach greatly simplifies the construction of the asymptotics of the solution for singularly perturbed differential equations of hyperbolic type.

Статья 2022 Fen Fakültesi MANAS Journal of Engineering (MJEN)10 ( 2 ) 60 Просмотры
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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.

Статья 2019 Fen Fakültesi Journal of Mathematical Sciences242 ( 3 ) 46 Просмотры
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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.

Статья 2022 Fen Fakültesi Journal of Mathematical Sciences264 ( 4 ) 70 Просмотры
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Regularized Asymptotics of the Solution of Systems of Parabolic Differential Equations

Asan ÖMÜRALİEV | Ella ABILAYEVA

The regularization method for singularly perturbed problems of S. A. Lomov is generalized to constructing the asymptotics of the solution of the first boundary value problem for systems of differential equations of parabolic type with a small parameter at all derivatives.It is shown that the asymptotics of the solution of the problem contains n exponential, 2n parabolic and 2n angle boundary layer functions.The exponential boundary layer function describes the boundary layer along t 0, the boundary layer along x 0 and x 1 is described by parabolic boundary layer functions. © 2022, University o ...Более

Статья 2022 Fen Fakültesi Filomat36 ( 16 ) 21 Просмотры
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An Introduction To Soft Cone Metric Spaces And Some Fixed Point Theorems = Esnek Koni Metrik Uzaylara Giriş ve Bazı Sabit Nokta Teoremleri

Dağıstan ŞİMŞEK | Fahreddin ABDULLAYEV | Meerim İmaş Kızı | Ella ABILAYEVA | Burak OĞUL

This paper is an introduction to soft cone metric spaces. We first define the concept of soft cone metric via soft elements and give basic properties of its. Then, we investigate soft convergence in soft cone metric spaces and prove some important fixed point theorems for contractive mappings on soft cone metric spaces.- Bu makale esnek koni metrik uzaylara bir giriştir. Önce esnek koni metrik uzayları, esnek eleman yardımıyla tanımladık ve onun temel özelliklerini verdik. Sonra esnek koni metrik uzaylarda esnek yakınsaklık kavramını inceledik ve esnek koni metrik uzaylar üzerinde daralma dö ...Более

Статья 2017 Fen Fakültesi MANAS Journal of Engineering (MJEN)5 ( 3 ) 148 Просмотры
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Asymptotics of the Solution of Parabolic Problems with Multipoint Stationary Phase

Asan ÖMÜRALİEV | Ella ABILAYEVA

The aim of this paper is to construct regularized asymptotics of the solution of a singularly perturbed parabolic problem when the limit operator has not range and with rapidly oscillating free term, its derivative of the phase vanishes at finite points. The vanishing of the first derivative of the phase of the free term induces transition layers. It is shown that the asymptotic solution of the problem contains parabolic, inner, corner and rapidly oscillating boundary-layer functions. Corner boundary-layer functions have two components: the first component is described by the product of parabo ...Более

Доклады конференции 2017 Fen Fakültesi AIP Conference Proceedings1880 ( 1 ) 78 Просмотры
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Variational Formulation Of A Boundary-value Problem Corresponding To Forced Vibration Of An Imperfectly Bonded Bi-layered Plate-strip Resting On A Rigid Foundation

Elman HAZAR | Dağıstan ŞİMŞEK | Asan ÖMÜRALİEV | Burak OĞUL | Ella ABILAYEVA | Peyil Esengul Kızı

In the present study, a boundary-value problem corresponding to forced vibration of an imperfectly bonded bi-layered plate-strip resting on a rigid foundation is considered. In the framework of three-dimensional linearized theory of elastic waves in initially stressed bodies, the mathematical modelling of considered problem is given. Then, the variational formulation of the problem considered is obtained in the framework of the principles of calculus of variation. The problem considered differs from the previous studies in the view of imperfect boundary conditions between the layers of the pla ...Более

Статья 2015 Fen Fakültesi MANAS Journal of Engineering (MJEN)3 ( 2 ) 123 Просмотры
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Singularly Perturbed Multidimensional Parabolic Equation with Rapidly Oscillating Free Term

Asan ÖMÜRALİEV | Ella ABILAYEVA

The regularized asymptotics of the solution of the first boundary-value problem for a two-dimensional differential equation of parabolic type is constructed in the case where the phase derivative vanishes at a single point. It is shown that angular and multidimensional boundary-layer functions appear in problems of this kind parallel with other types of boundary layers.

Статья 2022 Fen Fakültesi Ukrainian Mathematical Journal73 ( 12 ) 80 Просмотры
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Two-dimensional parabolic problem with a rapidly oscillating free term

Ella ABILAYEVA | Asan ÖMÜRALİEV

The aim of this paper is to construct regularized asymptotics of the solution of a two-dimensional partial differential equation of parabolic type with a small parameter for all spatial derivatives and a rapidly oscillating free term. The case when the first derivative of the phase of the free term at the initial point vanishes is considered. The two-dimensionality of the equation leads to the emergence of a two-dimensional boundary layer. The presence in the free term of a rapidly oscillating factor leads to the inclusion in the asymptotic of the boundary layer with a rapidly oscillating na ...Более

Статья 2019 Fen Fakültesi MANAS Journal of Engineering (MJEN)7 ( 1 ) 48 Просмотры
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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

Доклады конференции 2019 Fen Fakültesi Filomat33 ( 5 ) 139 Просмотры
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Asymptotics of the Solution of the Parabolic Problem with a Stationary Phase and an Additive Free Member

Asan ÖMÜRALİEV | Ella ABILAYEVA

In this paper we construct the asymptotics of the solution of the singularly perturbed parabolic problem with the stationary phase and the additive free term.

Статья 2018 Fen Fakültesi MANAS Journal of Engineering (MJEN)6 ( 2 ) 67 Просмотры
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Параболическая задача со степенным пограничным слоем

Asan ÖMÜRALİEV | Ella ABILAYEVA | Peyil Esengul Kızı

Строится регуляризованная асимптотика решения первой краевой задачи для сингулярно возмущённого двумерного дифференциального уравнения параболического типа, когда предельное уравнение имеет регулярную особенность. В таких задачах наряду с параболическими пограничными слоями возникают степенной и угловые пограничные слои.

Статья 2021 Fen Fakültesi Дифференциальные уравнения57 ( 1 ) 104 Просмотры
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