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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 ...More

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On Solvability of Optimization Problem for Elastic Oscillations with Multipoint Sources of Control

Elmira ABDILDAYEVA

In the paper we investigate the optimal control problem for elastic oscillation under multipoint influences of external forces when oscillation process is described by Fredholm integro-differential equation. Sufficient conditions for unique solvability of nonlinear optimization problem were found and the algorithm for constructing complete solution to this problem was developed.

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On the Solvability of a Nonlinear Tracking Problem Under Boundary Control for the Elastic Oscillations Described by Fredholm Integro-Differential Equations

Elmira ABDILDAYEVA

In the present paper we investigate nonlinear tracking problem under boundary control for the oscillation processes described by Fredholm integro-differential equations. When we investigate this problem we use notion of a weak generalized solution of the boundary value problem. Based on the maximum principle for distributed systems we obtain optimality conditions from which follow the nonlinear integral equation of optimal control and the differential inequality.We have developed an algorithm to construct the optimization problem solution. This solving method of a nonlinear tracking problem is ...More

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Solutions of the Rational Difference Equations xn+1 = xn-11/1+xn-2xn-5xn-8

Dağıstan ŞİMŞEK | Burak OĞUL

In this paper a solution of the following difference equation xn+1=xn-111+xn-2xn-5xn-8 was investigated, where x-11, x-10, ..., x-2, x-1, x0 ∈ (0, ∞).

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Topology of Soft Cone Metric Spaces

Dağıstan ŞİMŞEK

In Simsek's paper it was introduced a concept of soft cone metric space via soft elements and some fixed point theorems in soft cone metric space were provided. In this work, we examine topological structures such as open ball, soft neighbourhood and soft open set in soft metric spaces and their some properties, and prove that every soft cone metric space under some condition is a soft topological space according to elementary operations on soft sets.

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Formulas for solution of Riccati's equationle

Avıt ASANOV

In this paper we obtained the formula for the common solution of Riccati equations. Here Riccati equations was solved for common cases. Results obtained have been compared with the conventional ones and a comment has been made on them.

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Accuracy of Discrete Markov Approximation in the Problems of Estimation of Random Processes Characteristics

Ulan BRİMKULOV | Çinara CUMABAYEVA | Kasım BARIKTABASOV

Many computational algorithms related to Markov processes contain the covariance matrix of measurements. Approximation of covariance matrix of measurements of observed random process by the covariance matrix of Markov process is of great interest. Because it gives an opportunity to develop computationally efficient algorithms for analysis of Markov processes (parametric identification, filtering, interpolation and others). This paper presents the algorithm of approximation of the covariance matrix of the observed process by the covariance matrix of a multiply connected (m-connected) Markov p ...More

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Сорные растения пастбищ Ат-Башинской долины внутреннего Тянь-Шаня Кыргызстана

Nazgül İMANBERDİYEVA

Горные пастбища составляют две эколого-топологические группы: высокогорную и горную – степные пастбища низкогорий и среднегорий на светло- и темно-каштановых почвах. В данной работе дана оценка современного состояния растительного покрова пастбищ Ат-Башинской долины Внутреннего Тянь-Шаня Кыргызстана и проведено описание растительности высокогорных и среднегорных пастбищ разной антропогенной нагрузки. В настоящее время пастбищные ресурсы под влиянием антропогенных и техногенных изменений переживают ряд негативных процессов. В результате неправильного использования пастбищ уменьшились урожайност ...More

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Мир музыки и картина мира (к постановке проблемы)

Roza AMANOVA

В процессе познания мира этнос формирует картину мира, посредством которой он (этнос) и его индивиды «встраиваются» в существующий мир. Понятие «картина мира» выражает образно-понятийную копию Вселенной. У кыргызов она возникла на основе древнего мировоззрения тюрко-монгольских народов и, являясь духовным образованием, служила важным средством управления человеческой деятельностью, помогала ориентироваться в реальной жизни.

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Стратегия регионального развития Кыргызстана: Реалии, риски и новые возможности

Cumabek CAİLOV

Проведен анализ внешнеэкономических связей Кыргызстана и Китайской Народной Республики. Определены темпы и объемы роста внешнеторгового оборота и привлечения инвестиций в экономику Кыргызстана из КНР. Выявлены положительные аспекты и угрозы развития внешнеэкономических связей. Обоснованы перспективные направления интеграции и механизмы экономического сотрудничества.

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Жанровая природа кыргызских кюев для комуза (Синкрезис музыки и языка жестов)

Roza AMANOVA

В инструментальном исполнительстве кыргызы сохранили и язык жестов, сформированный в древности охотниками и воинами. Стиль игры на кыргызском комузе, сложившийся как органичный синкрезис музыки с древним языком жестов, является удивительным уникальным и драгоценнейшим явлением мировой музыкальной культуры. Этот стиль исполнения наполнен мужественной энергетикой языка жестов, созданного охотниками и воинами. Он напоминает о существовании этого языка в культурах кочевников.

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A Kalman Filter Based Transient State Estimation Method Applicable to Whole or Specific Region of Power Systems Having Known and Unknown Loads

Mehmet KARADENİZ

On a power network, events are desired to be monitored to find its reasons and to take preventive action. Today, power quality measurement devices are used to obtain synchronous measurement data of network, however these devices are expensive and it is not considered a practical option to place one on each node of the network. Therefore, methods estimating voltages and currents at non-measured points of the network are required. In this study, a new power system transient state estimation method is designed to estimate transientsin a power network in which some of the loads are unknown. By thi ...More

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