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Investigation of Kyrgyz Learners’ Engagement in Online Courses

Gülşat MUHAMETJANOVA | Azat AKMATBEKOVA

This study aimed to investigate Kyrgyz learners' engagement in online courses. In this respect, the Student Engagement Scale and appropriate open-ended questions were employed in order to obtain data from learners. The sample covers 400 undergraduate learners studying at Kyrgyz-Turkish Manas University. The study has a mixed research design, hence both quantitative and qualitative approaches were employed. The results of the study revealed that behavioral engagement has a significant effect on learner achievement. The study also demonstrated that the engagement of Kyrgyz learners in online cou ...More

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SOLUTION OF SOME LINEAR SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS

Anarkül URDALETOVA

The problem of integrability of ordinary differential equations to find their exact solutions is a celebrated problem in the theory of differential equations which attracted attention of several workers in the area. This is due to the fact that: (a) differential equations are the most widely used continuous models of dynamic systems in physics, medicine, economics, biology and other sciences that study the surrounding reality, for which the explicit trajectory of the dynamic system's behavior is important as the explicit solution contains in itself the maximum information about the behavior of ...More

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Fekete-Szegö inequality for a subclass of analytic functions associated with Gegenbauer polynomials

Muhammet KAMALİ

In this paper, we define a subclass of analytic functions by denote (Formula Presented) satisfying the following subordinate condition (Formula Presented) where (Formula Presented). We give coefficient estimates and Fekete-Szegö inequality for functions belonging to this subclass.

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On the solvability of a nonlinear optimization problem with boundary vector control of oscillatory processes = О разрешимости задачи нелинейной оптимизации при граничном векторном управлении колебательными процессами = Тербелмелi процестердi шекаралық векторлық басқарумен сызықтыемес оңтайландыру есебiнiң шешiмi туралы

Elmira ABDILDAYEVA

In the paper, the solvability of the nonlinear boundary optimization problem has been investigated for the oscillation processes, described by the integro-differential equation in partial derivatives with Fredholm integral operator. It has been established that the components of the boundary vector control are defined as a solution to a system of nonlinear integral equations of a specific form, and the equations of this system have the property of equal relations. An algorithm for constructing a solution to the problem of nonlinear optimization has been developed. Keywords: general solution; n ...More

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The Consecutive Substitution Method for Boundary Value Problems (BVPs) with Retarded Argument

Ercan ÇELİK

In this study, we applied an approximate solution method for solving the boundary value problems (BVPs) with retarded argument. The method is the consecutive substitution method. The consecutive substitution method was applied and an approximate solution was obtained. The numerical solution and the analytical solution are compared in the table. The solutions were found to be compatible. Keywords: approximate solution; boundary-value problem; numerical solution; retarded argument; solution methods; substitution method; boundary value problems

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Novel analytical and approximate-analytical methods for solving the nonlinear fractional smoking mathematical model

Ercan ÇELİK

Smoking is globally a challenging issue that causes many fatal health problems. In this paper, a nonlinear fractional smoking mathematical model is proposed in the context of a modi-fied form of the Caputo fractional-order derivative. The analytical and approximate-analytical solutions are obtained for the proposed mathematical model via the fractional differential transform method (FDTM) and Laplace Adomian decomposition method (LADM). The ob-tained solution is provided as a rapidly convergent series. Simulation results are provided in this paper to compare the obtained solutions by FDTM, LAD ...More

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On Survey of the Some Wave Solutions of the Non-Linear Schrödinger Equation (NLSE) in Infinite Water Depth

Ercan ÇELİK

In this work, we use two different analytic schemes which are the Sine-Gordon expansion technique and the modified exp -expansion function technique to construct novel exact solutions of the non-linear Schrödinger equation, describing gravity waves in infinite deep water, in the sense of conformable derivative. After getting various travelling wave solutions, we plot 3D, 2D and contour surfaces to present behaviours obtained exact solutions. Keywords: the sine-gordon expansion technique; the modified exp -expansion function technique; conformable derivative, non-linear schrödinger equation (NL ...More

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On the Method of Lyapunov Functionals for a Linear First-Order Volterra Integrodifferential Equation with Delay on the Semiaxis

Samandar İSKANDAROV

Sufficient conditions are established to ensure the estimation, boundedness, power-law absolute integrability on the semiaxis, the tendency to zero under the tendency to infinity of the independent variable of all solutions of the linear Volterra integrodifferential equation of the first order with delay. For this purpose, a generalized Lyapunov functional is constructed. An illustrative example is presented. Keyword: absolute integrability; argument lag; boundedness; estimation; generalized method of Lyapunov functionals; tending to zero of solutions; Volterra integrodifferential equation of ...More

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The solvability of the optimal control problem for a nonlinear Schrödinger equation

Ercan ÇELİK

In this paper, we analyze the solvability of the optimal control problem for a nonlinear Schrodinger equation. A Lions-type functional is considered as the objective functional. First, it is shown that the optimal control problem has at least one solution. Later, the Frechet differentiability of the objective functional is proved and a formula is obtained for its gradient. Finally, a necessary optimality condition is derived. Keywords: frechet differentiability; optimal control problem; optimality conditions; schrödinger equation

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Differentiation of Bos grunniens and Bos Taurus based on STR locus polymorphism = Дифференциация Bos grunniens и Bos taurus на основании полиморфизма STR-локусов

Kadırbay ÇEKİROV | Bermet KIDIRALİYEVA

Differentiation of closely related biological species using molecular genetic analysis is important for breeding farm animals, creating hybrid lines, maintaining the genetic purity of breeds, lines and layering. Bos grunniens and Bos taurus differentiation based on STR locus polymorphism will help maintain the genetic isolation of these species and identify hybrid individuals. The aim of this study is to assess the differentiating potential of 15 microsatellite locito distinguish between domestic yak (B. grunniens) bred in the Kalmak-Ashuu highland region (Kochkor district, Naryn region, Kyrgy ...More

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Research on the Determination ofthe Physicochemical and Sensory Characteristics of the Wine Produced by Malolactic Fermentation from Sauvignon Blanc, Merlot and Kalecik Karası Grapes

Gülbübü KURMANBEKOVA

Objective: The aim of this study is to examine how malolactic fermentation and classical fermentation affect the physicochemical and sensory properties of wines made from red and white grapes. Methods: In our research, we opted for Sauvignon blanc variety in white grapes and locally produced Kalecik karasi and French Merlot variety in red grapes all of which are recognised as important grape varieties both in our country and around the world. To preserve the natural aroma of the grape, start the fermentation rapidly and ensure formation of a balanced amount of glycerol, the use of Saccharomyce ...More

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An approximate solution of singularly perturbed problem on uniform mesh

Ercan ÇELİK

In this study, we obtain approximate solution for singularly perturbed problem of differential equation having two integral boundary conditions. With this purpose, we propose a new finite difference scheme. First, we construct this exponentially difference scheme on a uniform mesh using the finite difference method. We use the quasilinearization method and the interpolating quadrature formulas to establish the numerical scheme. Then, as a result of the error analysis, we show that the method under study is convergent in the first order. Consequently, theoretical findings are supported by numer ...More

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