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Publication year : 2021 ✕Department : Uygulamalı Matematik ... ✕
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SOLUTION OF RATIONAL DIFFERENCE EQUATION

Burak OĞUL

The behavior of the solutions of the following system of difference equations is examined, [Formula Presented] where the initial conditions are positive real numbers. The initial conditions of the equation are arbitrary positive real numbers. Also, we discuss and illustrate the stability of the solutions in the neighborhood of the critical points and the periodicity of the considered equations. Keyword: limit; Rational difference equation; solution; stability

Article 2021 Fen Fakültesi Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms28 ( 2 ) 33 Views
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The use of the isometry of function spaces with different numbers of variables in the theory of approximation of functions

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

In the work, we found integral representations for function spaces that are isometric to spaces of entire functions of exponential type, which are necessary for giving examples of equality of approximation characteristics in function spaces isometric to spaces of non-periodic functions. Sufficient conditions are obtained for the nonnegativity of the delta-like kernels used to construct isometric function spaces with various numbers of variables.

Article 2021 Fen Fakültesi Carpathian Mathematical Publications13 ( 3 ) 144 Views
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On elementary soft compact topological spaces

İsmet ALTINTAŞ

This paper is a work on elementary soft (𝜖-soft) compact spaces. We first define the cofinite 𝜖- soft compact space and prove that the image of an 𝜖-soft compact space under a soft continuous mapping is 𝜖-soft compact space. We then examine the relationship between 𝜖-soft compact space and classical compact space and give an illustrative example.

Article 2021 Fen Fakültesi MANAS Journal of Engineering (MJEN)9 ( 2 ) 59 Views
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Bernstein-Walsh type inequalities for derivatives of algebraic polynomials in quasidisks

Fahreddin ABDULLAYEV

In this paper, we study Bernstein-Walsh type estimates for the higher-order derivatives of an arbitrary algebraic polynomial on quasidisks.

Article 2021 Fen Fakültesi Open Mathematics19 ( 1 ) 92 Views
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A Singularly Perturbed System of Parabolic Equations

Asan ÖMÜRALİEV | Peyil Esengul Kızı

The work is devoted to the construction of the asymptotic behavior of the solution of a singularly perturbed system of equations of parabolic type, in the case when the limit equation has a regular singularity as the small parameter tends to zero. The asymptotics of the solution of such problems contains boundary layer functions.

Article 2021 Fen Fakültesi Lobachevskii Journal of Mathematics42 ( 15 ) 77 Views
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Faber polynomials with common zero

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

We describe the set of meromorphic univalent functions in the class Σ, for which the sequence of the Faber polynomials {Fj}∞j=1 have the roots with following properties |Fn(z0)|>0=∑j=1j≠n|Fj(z0)|. For such functions we found an explicit form of the Faber polynomials as well as we discussed some properties.

Article 2021 Fen Fakültesi Analysis and Mathematical Physics11 ( 1 ) 72 Views
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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.

Article 2021 Fen Fakültesi Дифференциальные уравнения57 ( 1 ) 104 Views
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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.

Article 2021 Fen Fakültesi Differential Equations57 ( 1 ) 67 Views
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Direct and inverse approximation theorems of functions in the Musielak-Orlicz type spaces

Fahreddin ABDULLAYEV

In Musilak-Orlicz type spaces S-M, direct and inverse approximation theorems are obtained in terms of the best approximations of functions and generalized moduli of smoothness. The question of the exact constants in Jackson-type inequalities is studied.

Article 2021 Fen Fakültesi Mathematical Inequalities & Applications24 ( 2 ) 38 Views
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University students' acceptance of mobile learning: A comparative study in Turkey and Kyrgyzstan

Gülşat MUHAMETJANOVA

A key factor in the success of a technology is its use by target users. Therefore, the effectiveness of mobile learning depends on student acceptance. In this regard, the purpose of this study is to analyze the factors that influence university students

Article 2021 Fen Fakültesi Education and Information Technologies26 ( 5 ) 121 Views
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Investigation of Gaming Habits, Personality Traits, and Internet Gaming Disorder Among Kyrgyz Adolescents

Gülşat MUHAMETJANOVA

The purpose of this study is to investigate the gaming habits, personality traits, and Internet gaming disorder (IGD) of Kyrgyz adolescents. Sociodemographic questions, gaming-related questions, Internet Gaming Disorder Test (IGD-10), and Big Five Inventory (BFI-10) were used to collect data from 248 Kyrgyz adolescents between the ages of 11 and 21 years. The study revealed that most of the participants play digital games for 1 to 10 h a week. Among the game categories, action games are the most preferred one by the participants. Structural equation modelling (SEM) was used to investigate the ...More

Article 2021 Fen Fakültesi International Journal of Mental Health and Addiction21 ( 2 ) 74 Views
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Jackson-type inequalities and widths of functional classes in the Musielak–Orlicz type spaces

Fahreddin ABDULLAYEV | Meerim İmaş Kızı

In the Musielak-Orlicz-type spaces S M , exact Jackson-type inequalities are obtained in terms of best approximations of functions and the averaged values of their generalized moduli of smoothness. The values of Kolmogorov, Bernstein, linear, and projective widths in SM are found for classes of periodic functions defined by certain conditions on the averaged values of the generalized moduli of smoothness.

Article 2021 Fen Fakültesi Rocky Mountain Journal of Mathematics51 ( 4 ) 115 Views
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