The journal is published with the purpose of publishing articles containing results in the fields of continuum mechanics, geomechanics, geotechnology, and computational mathematics, as well as articles for studying problems of fluid dynamics, rock mass geomechanics, geotechnology for subsoil development, and the geoecology of mining regions. This journal also addresses theoretical and applied aspects of numerical methods for constructing finite-dimensional analogs of continua and discretizing domains; the use of modern high-performance computers; and a comparative analysis of the capabilities of various application packages and the use of information technology. It aims to publish the main scientific results of candidate and doctoral dissertations, PhD theses, research papers as a scientific and scientific-technical periodical, as well as the publication of scientific conference proceedings.
USING INFORMATION TECHNOLOGY TO INCREASE ENTERPRISE EFFICIENCY
This article examines the importance of using information technology to improve enterprise efficiency. In today's digital economy, the use of information systems and web technologies enhances enterprise competitiveness and optimizes management processes.
information technology, enterprise, website, CRM, ERP, automation, efficiency
Copyright (c) 2026 СОВРЕМЕННЫЕ ПРОБЛЕМЫ МЕХАНИКИ
DEVELOPMENT AND EVALUATION OF A MOBILE LEARNING SYSTEM FOR LEARNING THE DART PROGRAMMING LANGUAGE
This paper presents a mobile learning system designed for studying the Dart programming language. The main stages of application development, its structure, and functional capabilities are described. The system includes theoretical materials, programming code examples, practical exercises, and knowledge assessment tools. The application was developed using the Dart programming language and the Flutter framework. The developed software can be used for self-study of Dart and as a supplementary educational tool in programming courses.
Dart programming language, mobile learning system, mobile application, Flutter, programming education, digital educational technologies, elearning, software development
METHODS OF MODELING AND FORECASTING APPLIED PROBLEMS USING MACHINE LEARNING
The article explores data mining and predictive modeling methods for forecasting students' academic performance based on a complex of sociopedagogical factors. The authors perform a comparative analysis of the effectiveness of ensemble machine learning algorithms (Random Forest, XGBoost) and a deep fully connected neural network in solving regression and binary classification problems. Based on the trained models, a comprehensive framework for evaluating forecasting quality was established (including MSE metrics, F1-score, confusion matrices, and ROC-AUC), allowing for the effective identification of at-risk students to provide timely academic support.
machine learning, academic performance forecasting, Random Forest, gradient boosting, fully connected neural networks, feature importance analysis, ROC analysis
CONSTRUCTING A MODEL FOR FORECASTING APPLIED PROBLEMS USING GENERATIVE ADVERSARY NETWORKS
The article discusses the development and implementation of a predictive model based on an advanced Conditional GAN architecture for forecasting air quality time series. Using synthetic multicomponent data that simulates realworld PM2.5 and PM10 pollutant concentrations—accounting for trends, seasonality, and noise—the authors investigate the specifics of adversarial training utilizing LSTM layers and 1D Convolutional Networks (1D ConvNet). A comparative analysis of stability and error metrics is conducted between GAN and classical LSTM models, alongside a comprehensive set of strategies for hyperparameter optimization and prevention of mode collapse.
Generative Adversarial Networks (GAN), time series forecasting, air quality, LSTM neural networks, TimeGAN, weather data processing, hyperparameter optimization
INCREASING THE HYDRAULIC STABILITY AND ENERGY EFFICIENCY OF HEATING NETWORKS IN URBANIZED AREAS (CASE STUDY OF BISHKEK)
The article examines the operational problems of district heating systems (DHS) under conditions of complex terrain and thermal power shortages. The inefficiency of using traditional water-jet elevators in modern hydraulic regimes is justified. A transition to independent individual heat substations (IHS) with weather-compensated PID control is proposed, which allows for reducing unproductive heat energy losses by 15–18% and improving the hydraulic regime of heating networks.
heat supply, water-jet elevator, individual heat substation (IHS), PID control, energy efficiency, 4GDH
COMPREHENSIVE LANDSLIDE HAZARD ASSESSMENT IN KYRGYZSTAN BASED ON SATELLITE DATA AND MACHINE LEARNING APPROACHES
This study examines the application of geographic information systems (GIS) and machine learning methods for landslide susceptibility mapping in the southern regions of Kyrgyzstan. The analysis is based on the SRTM digital elevation model and statistical data on previously recorded landslides. Morphometric terrain characteristics, including slope, aspect, curvature, and the Topographic Wetness Index (TWI), were derived and used as input features for model training. A Random Forest algorithm was employed to assess landslide susceptibility. As a result, a landslide probability map was generated, enabling the identification of the most vulnerable and potentially hazardous areas within the study region. The results confirm the effectiveness of integrating geospatial analysis and machine learning techniques for regional-scale natural hazard assessment.
landslide susceptibility mapping, geographic information systems (GIS), machine learning, Random Forest, SRTM, digital elevation model (DEM), Topographic Wetness Index (TWI)
APPLICATION OF FOURIER TRANSFORM FOR IDENTIFYING SEASONAL FLUCTUATIONS IN CONSUMER DEMAND IN RETAIL TRADE
This article examines the application of the Fourier transform for analyzing seasonal fluctuations in consumer demand in retail trade. Seasonality is one of the key factors affecting sales dynamics across various product categories. Traditional time series analysis methods allow researchers to identify trends and seasonal components; however, their effectiveness may decrease when demand patterns contain complex periodic dependencies. The Fourier transform makes it possible to decompose a sales time series into a set of harmonic components and determine dominant frequencies that characterize consumer purchasing behavior. The paper presents the theoretical foundations of the method, an analysis algorithm, and an example of its application to retail sales data. The results demonstrate that spectral analysis can effectively identify weekly, monthly, and annual demand cycles, thereby improving forecasting accuracy and inventory management efficiency. The study confirms the potential of Fourier-based methods as a tool for demand forecasting and decision support in modern retail management.
Fourier transform, time series analysis, demand seasonality, retail trade, sales forecasting, spectral analysis, consumer demand
EXPERIENCE IN DEVELOPING A GEOINFORMATION SYSTEM FOR MUDFLOW MONITORING FOR THE MINISTRY OF EMERCOM OF KYRGYZSTAN: EIGHT APPLIED PROBLEMS OF SPATIAL ANALYSIS
This article summarizes the experience of developing a geoinformation system for mudflow monitoring in the Kyrgyz Republic. Eight applied spatial analysis problems that arose during the design process and the proposed technical solutions are considered. Particular attention is paid to the results of load testing: it is shown that zonal statistics for metered streams without appropriate optimizations leads to an 18% failure rate under load and requires two consecutive optimization measures to reduce this rate to zero. It was also found that transferring heat map calculation to the client (browser) provides higher performance compared to server-side calculations with comparable hardware resources.
geographic information system, natural hazard monitoring, mudflows, Kyrgyzstan, zonal statistics, GIST index, spatial analysis, PostGIS, Redis
DEVELOPMENT OF AN INFORMATION SYSTEM FOR CONSTRUCTION COMPANY MANAGEMENT
The article discusses the development of an information system for construction company management. The software was implemented in C# using the .NET Framework platform and Windows Forms technology. The developed system automates the accounting of contracts, construction works, and payments. The use of the system improves information processing efficiency and reduces operation time.
information system, automation, Windows Forms, C#, database, Construction Company, accounting, .NET Framework
INFORMATION SYSTEM AS A TOOL FOR OPTIMIZING THE UNIVERSITY EDUCATIONAL PROCESS
This article substantiates a university management model based on the design and implementation of a university management information system. It presents the methodology and key principles that form the basis for developing and implementing an information system for managing the university's educational process. A functioning university information system, which automates educational process management, is described. The structure of the information system is presented, using the example of a subsystem for implementing specialty curricula.
information system, higher education institutions, university management, educational process, automated subsystem, business processes, curriculum, management decisions
AUTOMATION OF PLANNING AND ACCOUNTING OF PRODUCTION ACTIVITIES OF A WATER USERS ASSOCIATION
The Article is dedicated to creation computer planning system and account to production activity to assotiations water users. The Studies conducted within the framework of given subject, are directed on decision of the problems of the planning and account in AVP with use modern information technology and with-temporary automated facilities water an account.
Water users, computer water metering, irrigated agriculture, irrigation water, software, WUA
DESIGN AND IMPLEMENTATION OF A WEB-BASED LIBRARY BOOK INVENTORY SYSTEM USING PYTHON AND DJANGO
Libraries often use disparate and inefficient working methods. To optimize the processes, a web-based system has been developed that includes the new modules needed. The prototype of the system was created and tested in a development environment using the following tools: Python 3.10, Django 2.2.10, PyCharm and Windows 10. The system has been tested at all key stages of use, including logging in, navigating menus, borrowing books, managing libraries and personal accounts. The system created is designed for libraries with a small and medium number of visitors. It has basic functions and requires minimal investment in installation and maintenance. The current version of the system has some limitations that can be addressed by enhancing its scalability, intelligent search capabilities, integration with a barcode reader, and cloud compatibility.
library information system, book inventory, Django, Python, SQLite, web application, library automation
MODEL AND ARCHITECTURE OF THE INFORMATION SYSTEM FOR SUPPORTING EDUCATIONAL PLANNING
The article deals with the problems of designing an information system (IS) for the development of curricula for educational programs at the university. The methodology for designing the business model of IP, which provides automation of the educational process according to the parameters of the developed curricula, is presented. The analysis of the structure of the university management information system is given, which is described on the example of the functioning of the subsystem for the formation of educational plans of educational programs.
information system, curriculum, SES, higher education institutions, educational process, automated subsystem, business processes, database management system, software
AN INTELLIGENT DIGITAL TWIN OF THE MODEL FOR THE PRODUCTION OF DRY BUILDING MIXES BASED ON MAN-MADE WASTE
The article discusses the development of an intelligent digital twin for the production of dry building mixes using man-made waste from metallurgy and energy based on artificial intelligence technologies. The relevance of the study lies in the need to increase the resource and environmental efficiency of dry mix production, reduce the proportion of clinker materials, and introduce digital methods of process control in conditions of variability in raw material properties. The developed model is implemented as a hybrid digital twin that combines discrete event modeling of a production line and an intelligent subsystem for predicting product quality. Process control is formalized using a finite state machine that covers all key stages of production: component dosing, mixing, unloading, packaging, and batch archiving. Artificial intelligence is used to evaluate the physico-mechanical properties of a mixture (strength, density, workability) based on the composition of the formulation and the proportion of man-made components. Quantitative results confirming the effectiveness of the proposed approach were obtained during the simulation. It has been established that the proportion of man-made waste in the composition of dry mixtures can reach 40-50% without a critical decrease in the predicted quality indicators. The reduction in cement consumption is up to 30%, while the estimated capacity of the line reaches 15-20 t/h. The model provides automatic accounting of slag and ash consumption by batch, shift, and month, as well as dynamic assessment of the carbon footprint of products. The scientific novelty of the work lies in the integration of simulation modeling of the production cycle with the AI subsystem for assessing quality and environmental performance within a single digital model. The practical significance is determined by the possibility of using the developed model as a digital twin of the real production of dry building mixes, a tool for optimizing formulations, supporting management decisions and integrating into SCADA/MES systems of industrial enterprises.
artificial intelligence, digital twin, dry mixes, technological process, architecture, modeling
SELECTING A BLASTING CUT DESIGN TO INCREASE BREAKING EFFICIENCY IN MINING THIN ORE BODIES
This article presents the characteristics of inclined and straight blasting cuts. An analysis of the efficiency of drilling and blasting operations in mining thin ore bodies is conducted. It is found that a straight prismatic cut with compensation holes is the most common.
cutting, breaking, efficiency, development, thin ore body, KISH, BVR, type, explosives
MATHEMATICAL MODEL OF GREEN ECONOMY AND DEVELOPMENT OF THE REGION
The article examines a mathematical model of green economy and sustainable regional development based on modern methods of mathematical modeling and analysis. The obtained results can serve as a foundation for making effective managerial decisions in the context of the formation of a green economy.
mathematical model, green economy, electric vehicles
DESIGN AND PERFORMANCE EVALUATION OF A SCALABLE E-PETITION SYSTEM: A MONOLITHIC ARCHITECTURE APPROACH FOR LOCALIZED E-DEMOCRACY
In the digital age, an electronic petition is one way for citizens to express their opinions, complaints, or proposals on matters of interest or public service. In fact, through international websites such as Change.org and Avaaz.org, etc. It is not uncommon for them to fail to meet the needs of each country, particularly when flexibility, transparency, and data protection are required. Here, we introduce the design and evaluation of an e-petition system for local citizens. Our proposed system is implemented using the Django framework and a PostgreSQL database. Our proposed system utilizes the monolithic approach and attempts to maintain the equilibrium between ease of use, reliability, and security aspects required in a local e-petition system with the adoption of necessary moderation features to prevent misbehaviors (abuses) during the gathering of local citizen votes, measures to avoid any types of possible abuse from non-local users namely fraud and additional aspects such as data protection for the citizens.
e-democracy, electronic petitions, web architecture, Django, PostgreSQL, load testing, data privacy, monolithic architecture
CORRECTNESS OF THE SOLUTION TO THE INITIAL PROBLEM IN MULTIDIMENSIONAL SPACE WITH ANALYTICAL FUNCTIONS
This article examines the well-posedness of the solution to an initial-value problem for the inverse-time heat equation in a multidimensional space. The initial data are considered as entire analytic functions of exponential type. The existence and stability of the analytic solution in the corresponding function spaces are proven, and results are obtained for integral equations of the first kind.
heat equation, inverse time, initial-value problem, well-posedness, stability of the solution, analytic functions, entire functions, exponential type, multidimensional space, differentiation operator, power series, integral equation of the first kind
CURRENT PARADIGMS IN IMAGE RECOGNITION: THEORY, METRICS AND PRACTICAL APPLICATIONS
This article presents a systematic analysis of the evolution of image recognition methods – from classical approaches based on manually designed features to modern deep learning architectures. The theoretical foundations of representing objects as feature spaces are examined. The research results demonstrate the full life cycle of intelligent system development and justify the selection of specific methods based on operating conditions and available computational resources.
Pattern recognition, classification, quality metrics, neural networks
FEATURES OF THE GEOLOGICAL STRUCTURE OF RARE-EARTH DEPOSITS OF THE AKTYUZ ORE FIELD AND THE IMPACT OF THEIR DEVELOPMENT ON THE ENVIRONMENT
The article discusses the geological features of rare earth deposits in the Aktyuz ore field. It describes the structures, zoning, and mineralogical and geochemical parameters of these deposits in terms of their impact on the geoecology of the region.
geology, rare earth deposits, mineral composition of ores
APPROXIMATE SOLUTION OF PROBLEMS OF CONTINUOUS OBJECTS ON DISCRETE COMPUTING DEVICES
This article examines methods for approximate solutions to problems involving continuous objects on discrete computing devices. The concepts of computational and proof stability are introduced, and interval analysis methods are used. Results are obtained on the existence and stability of solutions to integral equations of the first kind with analytic right-hand sides, and algorithms for approximate solutions are developed.
continuous objects, discrete computing devices, approximate solution, computational stability, proof-based computations, interval analysis, machine intervals, integral equation of the first kind, analytic functions
DESIGNING A LOCAL INFORMATION SYSTEM FOR ORGANIZING AND CONDUCTING SOCIOLOGICAL SURVEYS.
The objective and purpose of this project stem from the need to integrate all stages of sociological research into a single digital environment, since in current practice, the preparation of questionnaires and scales, as well as data collection and coordination, are typically carried out using various methods and, at times, different tools. SurveyOps Studio is implemented as a local web application based on Node.js, HTML, CSS, and JavaScript, and includes a feature for persistent data storage in JSON format. Using SurveyOps Studio with all its features is entirely possible within a single application, even with relatively simple software and hardware configuration. Thus, it is an ideal option for introducing new methodologies into an educational program, developing new research concepts within an organization, or testing sociological research methodologies within a project.
Sociological survey, digitalization of research, data analytics, CSV export
NEURAL NETWORK METHODS FOR FORECASTING CLIMATE TIME SERIES (CASE STUDY OF THE KYRGYZ REPUBLIC)
Neural network methods for forecasting climate time series are examined using the Kyrgyz Republic as a case study. The study focuses on time series of mean air temperature, atmospheric precipitation, and CO₂ emissions. LSTM and GRNN models, as well as the XGBoost algorithm, are applied for comparative analysis. Forecasts of climate indicators up to 2050 are obtained, and the scenarios produced by different models are compared.
climate time series, neural network methods, climate forecasting, LSTM, GRNN, XGBoost
TAKING INTO ACCOUNT CRACKING WHEN ASSESSING THE STRESS-STRAIN STATE OF A ROCK BLOCK
This paper examines the stress-strain state (SSS) of a rock block, taking into account fracturing, using the Plaxis software suite. The author examines various approaches to modeling fractures in the rock mass, focusing on the finite element method and Goodman contact element theory. A numerical experiment established the dependence of nodal point displacements and compressive stress concentrations at the crack tip on the crack's inclination relative to gravity. It was found that certain angles of incidence trigger the most dangerous deformation characteristics, which contribute to macroscopic fracture and collapse of the block.
rock fracturing, stress-strain state, finite element method, rock block, stress concentration, Plaxis
THE NATURE OF DISTRIBUTION OF ACCUMULATED ELASTIC DEFORMATION ENERGY IN THE ZONE OF MOUNTAIN SLOPE BENCHES
This paper examines the quantitative and qualitative parameters of accumulated elastic energy in a mountain slope with benches to identify potential failure zones. Using analytical modeling in Mathcad, two loading scenarios were considered: the effect of gravitational forces alone and their combined effect with horizontal tectonic compression. Using Muskhelishvili functions, stress components were calculated, as well as the specific energies of volume and shape change for an elementary volume of the slope. The obtained results enable differentiated prediction of slope stability in bench-to-bench contact zones.
continuum mechanics, elastic energy of deformation, mountain slope, stress concentration, tectonic compression, Muskhelishvili functions
PROSPECTS FOR THE USE OF ECO-CLEAN COAL-WATER FUEL IN KYRGYZSTAN
This article analyzes the prospects for implementing coal-water fuel (CWF) production and combustion technology in Kyrgyzstan as an alternative to expensive gas and fuel oil. The author emphasizes that the republic possesses colossal brown coal reserves (approximately 28.3 billion tons), but its traditional use is hampered by its high tendency to fragment (up to 50% of the output is converted into unused fines) and the environmental damage it causes when burned. Switching to CWF allows this waste to be converted into a highly efficient and safe energy resource.
coal-water fuel (CWF), brown coal, Kyrgyzstan, environmental safety, energy efficiency, wet grinding, import substitution
CONSTRUCTION OF THE TRANSITION MATRIX OF A DISCRETE CONTROL SYSTEM
This article discusses a method for constructing a transition matrix for discrete control systems, a key step in solving difference equations. The authors propose using the Cayley-Hamilton theorem to efficiently calculate the matrix degree when discrete time assumes large values. The method is based on representing the transition matrix as a polynomial in a matrix of degree at most n-1, where the coefficients are determined through the system's eigenvalues.
discrete system, transition matrix, difference equation, Cayley-Hamilton theorem, characteristic polynomial, state vector
PREPARATION OF COMPUTATIONAL ACCELEROGRAMS FOR MODELING SEISMIC EFFECTS ON EARTH DAMS IN THE FLAC PROGRAM
This article describes a methodology for preparing accelerograms for dynamic seismic analysis of earth dams using the FLAC program. The author provides a detailed analysis of the process of transforming initial acceleration records into boundary conditions (velocities and stresses), taking into account the free-surface amplitude doubling effect. Using the example of the Suusamyr earthquake (1992), the author demonstrates the steps of scaling peak accelerations to 0.4g, frequency filtering (to 10 Hz), and adjusting the zero-displacement line for accurate modeling.
seismic impact, accelerogram, FLAC program, deconvolution, earth dam, Suusamyr earthquake
MINIMUM ENERGY CONTROL IN A DISCRETE OPTIMAL CONTROL PROBLEM
This article describes a method for solving a discrete optimal control problem for stationary systems with a small step size. The authors propose an algorithm for dividing the original system into two subsystems of lower order, which simplifies the search for a control that minimizes energy costs. The possibility of finding the optimal control and corresponding trajectories by solving matrix equations of the Riccati and Lyapunov types is demonstrated.
optimal control, discrete systems, minimum energy, separation of motions, Riccati equations, functional
This article examines set-theoretic and topological characteristics of continuous mappings, extending the classical concepts of bases and networks of spaces to the case of mappings. The author introduces definitions of prenets and prebases of a mapping, proves criteria for their existence, and explores cardinal invariants such as the character and weight of a mapping. It is established that the first and second countability axioms for mappings are hereditary properties, and an analogue of the Alexandrov-Urysohn theorem on the cardinality of a base is proved.
topological space, mapping base, prebase of a mapping, weight of a mapping, countability axioms, cardinal number