Registration Number
0226U004362,
(0125U003808)
, R & D reports
Title
Development and application of modern mathematical models in economics and engineering
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Удосконалення теоретичних та методичних аспектів математичних моделей в економіці і техніці
Head
Lyudmyla Malyarets, Доктор економічних наук
Registration Date
13-08-2026
Organization
Simon Kuznets Kharkiv National University of Economics
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Theoretical and methodological justification, practical application of modern mathematical models used in solving real-life problems in economics and technics
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The objects of the study are the activities of state-owned business entities, specifically large industrial enterprises; the innovation system and the processes determining the diffusion of innovations; and the stress-strain state of an isotropic elastic plane containing combined defects; the economic system and methods of its mathematical modeling.
The purpose of the study is to form analytical support for determining the effectiveness of the activities of state-owned business entities, specifically large industrial enterprises; to analyze the principles underlying the construction of mathematical models of innovation diffusion dynamics for supporting control of the innovation diffusion process; and to construct a mathematical model of an elastic plane with combined defects and calculate the stress intensity coefficient; development of a methodological framework for analyzing the behavioral characteristics of economic dynamics models using the stability theory of nonlinear differential equation systems.
As a result of the conducted research, an analytical support for determining the efficiency of the activities of state-owned business entities (large industrial enterprises) has been formed, consisting of the following: current legislative and legal documents that regulate the activities of these enterprises; a system of partial indicators that describe the efficiency of the economic activities of industrial enterprises at the meso level; a system of partial indicators that describe export-import activity; mathematical tools (method for calculating the integral taxonomic development indicator, cluster analysis, pairwise regression models, dynamic econometric models with distributed lag); in addition, mathematical models of innovation diffusion have been classified and their fields of application have been identified to support managerial decision-making in controlling the innovation diffusion process.
Product Description
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Lyudmyla M. Malyarets
Anatolii V. Voronin
Iryna L. Lebedieva
Tetiana V. Denysova
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2026-08-13
