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Publication year : 2017 ✕Index Type : CPCI-S ✕
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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

Proceedings Paper 2017 Fen Fakültesi AIP Conference Proceedings1880 ( 1 ) 78 Views
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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.

Proceedings Paper 2017 Fen Fakültesi AIP Conference Proceedings1880 ( 1 ) 66 Views
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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, ∞).

Proceedings Paper 2017 Fen Fakültesi AIP Conference Proceedings1880 ( 1 ) 60 Views
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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.

Proceedings Paper 2017 Fen Fakültesi AIP Conference Proceedings1880 ( 1 ) 85 Views
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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.

Proceedings Paper 2017 Fen Fakültesi 2017 International Multi-Conference on Engineering, Computer and Information Sciences (SIBIRCON) 81 Views
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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

Proceedings Paper 2017 Mühendislik Fakültesi Proceedings of the 2017 Intelligent Systems Conference (IntelliSys) 117 Views
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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

Proceedings Paper 2017 Mühendislik Fakültesi 2017 4th International Conference on Electrical and Electronic Engineering (ICEEE) 47 Views
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