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Information × Registration Number 0223U003813, 0122U201260 , R & D reports Title The development and application of mathematical methods to economics and technics in modern conditions popup.stage_title Head Maliarets Liudmyla M., д.е.н. Registration Date 07-07-2023 Organization Simon Kuznets Kharkiv National University of Economics popup.description2 Objects of the study are ecological and economic sustainability of economic entities of the state sector of the economy of Ukraine; vectors, vector fields and integral curves; economic losses of economic entities arising as a result of global and local challenges, in particular, the coronavirus pandemic. The purpose of the work are to clarify the substantive essence of ecological and economic sustainability of business entities of the state sector of the economy of Ukraine, the formation of a system of indicators, the choice of an analytical method and the determination of the level of ecological and economic sustainability; consideration of concepts of the theory of differential equations and tensor analysis, as well as elements of differential geometry in the form required for the theory of elasticity; development of a conceptual approach to modeling the system of reducing economic losses of business entities in the conditions of modern global and local challenges, which is based on methods, the use of which allows us to correctly identify possible risks and develop an effective system for overcoming their negative consequences in a timely manner. As a result of the research carried out, the methodological support for assessing the level of ecological and economic sustainability of business entities of the state sector of the economy of Ukraine has been formed; the considered concepts of differential geometry, such as curves, vectors and vector fields, basic vectors, vector fields and integral curves, will be significantly used in the theory of elasticity; the basic stages of the construction of the economic loss leveling system have been determined, the survival function has been constructed in the conditions of the spread of crisis phenomena, the probability of the occurrence of a risk situation has been estimated, a profile of the limitation of economic losses has been developed, risk zones were determined. SUBSTANTIVE ESSENCE, SYSTEM OF INDICATORS. Product Description popup.authors Hunko Olha V Denisova Tatiana V. Malyarets Lуudmyla Mychailivna popup.nrat_date 2023-07-07 Close