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Source : Filomat ✕Department : Matematik Bölümü ✕
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R-Compact Uniform Spaces in the Category ZUnif

Asılbek ÇEKEEV

A number of basic properties of R-compact spaces in the category Tych of Tychonoff spaces and their continuous mappings are extended to the category ZUnif of uniform spaces with the special normal bases and their coz-mappings.

Proceedings Paper 2019 Fen Fakültesi Filomat33 ( 5 ) 58 Views
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Direct Integration of Systems of Linear Differential and Difference Equations

Anarkül URDALETOVA

Traditionally the Euler method is used for solving systems of linear differential equations. The method is based on the use of eigenvalues of a system's coefficients matrix. Another method to solve those systems is the D'Alembert integrable combination method. In this paper, we present a new method for solving systems of linear differential and difference equations. The main idea of the method is using the coefficients matrix eigenvalues to find integrable combinations of system variables. This method is particularly advantageous when nonhomogeneous systems are considered.

Proceedings Paper 2019 Fen Fakültesi Filomat33 ( 5 ) 71 Views
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Solvability of Optimization Problem for the Oscillation Processes with Optimal Vector Controls

Elmira ABDILDAYEVA | Akılbek KERİMBEKOV

The optimal control problem is investigated for oscillation processes, described by integro-differential equations with the Fredholm operator when functions of external and boundary sources non-linearly depend on components of optimal vector controls. Optimality conditions having specific properties in the case of vector controls were found. A sufficient condition is established for unique solvability of the nonlinear optimization problem and its complete solution is constructed in the form of optimal control, an optimal process, and a minimum value of the functional.

Article 2019 Fen Fakültesi Filomat33 ( 5 ) 115 Views
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About Uniqueness of Solutions of Fredholm Linear Integral Equations of the First Kind in the Axis

Avıt ASANOV

In this work, we apply the method of integral transformation to prove uniqueness theorems for the new class of Fredholm linear integral equations of the first kind in the axis.

Proceedings Paper 2019 Fen Fakültesi Filomat33 ( 5 ) 105 Views
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A Note on Dieudonne Complete Spaces

Asılbek ÇEKEEV

In this paper, it is established a characterization of T-normal coverings by means of approximation of the Cech complete paracompacta, which are the perfect preimages of complete metric spaces of weight

Article 2018 Fen Fakültesi Filomat32 ( 14 ) 75 Views
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