On the Solvability of the Synthesis Problem for Optimal Control Systems with Distributed Parameters

Elmira ABDILDAYEVA

The solvability of synthesis problem of external and boundary controls is investigated for optimization of oscillation process, described by partial differential equations with Fredholm integral operator. Functions of the external and boundary actions are nonlinearly with respect to control. An integro-differential equation is obtained in the specific type for Bellman functional. An algorithm is developed for constructing solutions to synthesis problem of external and boundary controls. Keywords: Generalized solution, Bellman functional, Frechet differential, Integro-differential equation, Fre ...Дагы

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 ...Дагы

A new binary genetic programming approach to designing public transportation systems according to transit-oriented development criteria

Hasan YILMAZ

This study introduces a new evolutionary approach called Binary Genetic Programming (BGP) to design and assess public transportation systems from a sustainable development perspective. The BGP combines evolutionary system identi cation techniques with k-fold cross-validation to obtain an accurate model between the land use and transportation parameters from a sustainable urban development point of view. To assess the new model, two public transportation systems including the new tram line of Antalya (Turkey) and the bus rapid transit line of Bhopal (India) were considered. The model was employ ...Дагы

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 ...Дагы

Understanding the Role of Self-Efficacy in Sports Performance: A Longitudinal Study

The primary goal of this research project is to evaluate the influence of self-efficacy in athletic performance. This longitudinal study gives primary research data analysis to identify the research study employed useful research questions connected to self-efficacy and sports performance. This question is dependent on whether it is open-ended or closed-ended. The research study employed SPSS software for this aim, and the outcomes were useful. The descriptive statistic analysis, one-way ANOVA test analysis, variance component analysis, chi-square analysis, and the initial main test between de ...Дагы

Chyngyz Aitmatov as an Actor in Cultural Diplomacy of the Turkic World

Uğur ÜNAL | Tolkun Bekturgan Kızı

Chyngyz Aitmatov is a world-renowned Kyrgyz writer whose literary works have been translated into 186 languages, as well as a politician and diplomat. Chyngyz Aitmatov not only gained worldwide recognition for his literary works, but also carried out a diplomatic mission. He started his cultural diplomatic career as soon as he wrote his first literary work and spread it to the public. He emphasized the prominent themes of his works and promoted the ideology of peace, harmony, and unity. Each of his translations, the awards he received in other countries, the honors attributed to him were impor ...Дагы

On the R -compactification of uniform spaces

As it is well known, there are various constructions of the R-compactification (Hewitt real compactification) of a uniform space [13], [15]. In this work we propose a new construction of the R-compactification (Hewitt real compactification) of a uniform space. Keyword: A0-boundedness; R-compactification; R-completeness.; R-extension

The Analysis of the Efficiency of Digital Education Platforms Based on Various Variables

Mehmet Arif ÖZERBAŞ

The present study aimed to determine the proficiencies of digital education platforms employed in mathematics courses instructed by classroom teachers based on various variables. For this purpose, the views of classroom teachers on the sub-dimensions of the Digital Education Platform Evaluation Scale (DEPES) were analyzed based on various variables. Correlational survey model was employed in the study. The study group included 601 classroom teachers employed in public and private primary schools in Istanbul during the 2020-2021 academic year. The Digital Education Platform Evaluation Scale (DE ...Дагы

2D-HASAP: Two-Dimensional Heading-Aided Single-Anchor Positioning via Hidden Markov Model Map-Matching

Özgül SALOR-DURNA

This paper proposes a two-dimensonal positioning method based on a hidden Markov model map-matching scheme. The states of the hidden Markov model are generated by dividing the area of interest into a grid. At each time instant, the method considers two types of measurements: the platform's heading and the two-dimensional distance between the platform and the single-anchor. A recursive Bayesian estimator exploits these measurements to estimate the platform's position. The platform's heading measurement is used to calculate the prior probability distribution. Following this, observation likeliho ...Дагы

Асимптотика решения параболической задачи при отсутствии спектра предельного оператора = Asymptotics of the solution to a parabolic problem with the limit operator having no spectra

Asan ÖMÜRALİEV

Строится регуляризованная асимптотика решения сингулярно возмущенной двумерной параболической задачи, когда предельный оператор не имеет спектра. В отличие от скалярной задачи, асимптотика решения двумерной задачи дополнительно содержит угловые параболические пограничные функции, которые описываются произведением параболических пограничных функций.

A class of systems of linear Fredholm integral equations of the third kind

Avıt ASANOV

Application of the linear principle for the strongly-correlated variables: Calculations of differences between spectra

Ali Osman SOLAK

In this paper the authors suggest a new method of detection of possible differences between similar near infrared (NIR) spectra based on the self-similar (fractal) property. This property is a general characteristic that belongs to a wide class of the strongly-correlated systems. As an example we take a set of NIR spectra measured for three systems: (1) glassy carbon (GC) electrodes, (2) GC electrodes affected by azobenzene (AB) substance and finally (3) films (AB-FILM). Besides the physical model that should describe the intrinsic properties of these substances we found the fitting function t ...Дагы