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Publication year : 2019 ✕Department : Uygulamalı Matematik ... ✕
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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.

Article 2019 Fen Fakültesi Journal of Mathematical Sciences242 ( 3 ) 46 Views
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The web-based learning environment in general physics course in a public university in Kyrgyzstan

Gülşat MUHAMETJANOVA | Azat AKMATBEKOVA

This study was conducted to see the attitudes of students toward web-based learning environment in General Physics course. The study was conducted in a public university in Kyrgyzstan in 2018. 144 students from the faculty of Science and Engineering participated in the study. Online questionnaire was completed online at the end of the spring semester 2017-2018. In addition, in-depth interviews with 12 students were conducted. Results showed that students’ success in online Physics course depends on gender and academic major of students. Factors, that were defined in this study: advantages over ...More

Article 2019 Fen Fakültesi Eurasia Journal of Mathematics Science and Technology Education15 ( 3 ) 66 Views
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Uniform and Pointwise Estimates for Algebraic Polynomials in Regions with Interior and Exterior Zero Angles

Fahreddin ABDULLAYEV

In this study, we give some estimates on the Nikolskii-type inequalities for complex algebraic polynomials in regions with piecewise smooth curves having exterior and interior zero angles.

Proceedings Paper 2019 Fen Fakültesi Filomat33 ( 2 ) 105 Views
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The uniform and pointwise estimates for polynomials on the weighted Lebesgue spaces in the general regions of complex plane

Fahreddin ABDULLAYEV

The estimation of the modulus of algebraic polynomials on the boundary contour with weight function, having some singularities, with respect to the their quasinorm, on the weighted Lebesgue space was studied in this current work.

Article 2019 Fen Fakültesi Hacettepe Journal of Mathematics and Statistics48 ( 1 ) 63 Views
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Exact estimates for Faber polynomials and for norm of Faber operator

Fahreddin ABDULLAYEV

Exact estimates for Faber polynomials, norm of Faber operator, and -norm of the generating function for the sequence of Faber operator of univalent functions of class sigma are found. The description of continua of the complex plane for which the norm of Faber operator take the value 1 or 3 is obtained.

Article 2019 Fen Fakültesi Complex Variables and Elliptic Equations65 ( 2 ) 53 Views
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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 ...More

Article 2019 Fen Fakültesi MANAS Journal of Engineering (MJEN)7 ( 1 ) 48 Views
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Solution of the maximum of maximum difference equations xn+1=max{1/xn-3,yn/xn}, yn+1=max{1/yn-3,xn/yn}

Dağıstan ŞİMŞEK | Burak OĞUL

This paper deals with the behaivour of the solutions of the max‐type system of difference equations xn+1=max{1/xn-3,yn/xn}, yn+1=max{1/yn-3,xn/yn}, where the initial conditions are positive real numbers.

Article 2019 Fen Fakültesi MANAS Journal of Engineering (MJEN)7 ( 1 ) 146 Views
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Asymptotics of the Solution of a Parabolic Linear System with a Small Parameter

Asan ÖMÜRALİEV

The first boundary value problem is studied for an n-dimensional parabolic linear system of differential equations with a small parameter multiplying the spatial derivative. A complete regularized asymptotics of the solution is constructed for the case in which the system is uniformly Petrovskii parabolic. The asymptotics contains 2n parabolic boundary layer functions described by the complementary error function.

Article 2019 Fen Fakültesi Differential Equations55 ( 6 ) 75 Views
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Асимптотика решения системы линейных уравнений параболического типа с малым параметром

Asan ÖMÜRALİEV

Изучается первая краевая задача для -мерной линейной системы дифференциальных уравнений параболического типа с малым параметром при пространственной производной. Построена полная регуляризованная асимптотика решения в случае, когда система является равномерно параболической в смысле Петровского. Построенная асимптотика содержит параболических погранслойных функций, описываемых “дополнительным интегралом вероятности”.

Article 2019 Fen Fakültesi Дифференциальные уравнения55 ( 6 ) 80 Views
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Uniform Convergence of the Generalized Bieberbach Polynomials in Regions with Simultaneously Exterior and Interior Zero Angles

Fahreddin ABDULLAYEV

We study the uniform and mean convergence of the generalized Bieberbach polynomials in regions having a finite number of interior and exterior zero zero angles.

Article 2019 Fen Fakültesi Complex Analysis and Operator Theory13 ( 6 ) 66 Views
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Bernstein-Walsh-Type Polynomial Inequalities in Domains Bounded by Piecewise Asymptotically Conformal Curve with Nonzero Inner Angles in the Bergman Space

Fahreddin ABDULLAYEV | Dağıstan ŞİMŞEK

We continue our investigation of the order of growth of the modulus of an arbitrary algebraic polynomial in the Bergman weight space, where the contour and weight functions have certain singularities. In particular, we deduce a Bernstein-Walsh-type pointwise estimate for algebraic polynomials in unbounded domains with piecewise asymptotically conformal curves with nonzero inner angles in the Bergman weight space.

Article 2019 Fen Fakültesi Ukrainian Mathematical Journal71 ( 5 ) 63 Views
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Internet and social networks use habits of adolescents between ages of 10-19 in the Kyrgyz Republic

Gülşat MUHAMETJANOVA | Azat AKMATBEKOVA

This study was conducted to investigate Internet and social networks use habits and online risks of children and adolescents between the ages of 10-19 in the Kyrgyz Republic. Data were collected using questionnaires in several government schools in Bishkek during Spring 2018. Totally 316 children participated in this study. The study employed quantitative methods for the analysis of data. As results showed, there are gender differences in using the Internet. That is, Kyrgyz boys use the Internet for watching videos, and playing games more than Kyrgyz girls. Majority of the participants indicat ...More

Article 2019 Fen Fakültesi Journal of Children and Media14 ( 2 ) 75 Views
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