Within the presented study, applied aspects of the resource provision of innovation and investment strategies for modernization of microeconomic systems in the context of digitalization are submitted. It is substantiated that the modernization of microeconomic systems is a certain activation of the potential modernization aimed at improving the efficiency of processes, technologies, management of products, services and more. Modernization challenges of microeconomic systems are implemented through strategic management of the enterprise development provided resource provision of the potential modernization. Initial conditions of the resource provision of the microeconomic systems modernization in the conditions of digitalization are singled out, which include: efficiency; availability and clarity of the algorithm analysis formed by information base and tools; clear calculations of the cost of attracting resources to the modernization process; forecasting and assessing the risks of incomplete implementation of modernization. It is proved that in the methodological support of resource management of microeconomic systems in the design, the method of subjectivity of distributions or cost centres is used. The methodical toolkit of the resource provision optimization of modernization designing of microeconomic systems in the conditions of digitalization with application of the competitive selection model of modernization projects for the carrying the chosen strategy of the resource supply is offered. The proposed approach to the optimization of resource provision of modernization design of microeconomic systems in the context of digitalization involves: formation of a set of applications based on the preferential principle and priority of innovation and investment strategies; assessment of actual indicators of resource efficiency in modernization projects by each participant; decision-making on providing resources to the modernization project; determining the completeness and redundancy of the resource allocation between projects; distribution of residual resources.

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In modern conditions of the society development, there is a single direction of the development of national economies and their regions - through sustainable development. It is the consideration of the simultaneous economic, social and environmental direction of regional development that gives the greatest resultant effects of the territorial development. In turn, sustainable development requires the development of the  specific evaluation methods that can give sound, accurate results of assessing the state and dynamics of sustainable development of regions. The authors propose a methodological approach that involves determining the state and dynamics of sustainable development by determining the integrated index and its components by calculating the integrated sub-indices. The method of assessing the state and dynamics of sustainable development involves the use of disparate methods, including statistical, grouping, rationing, simulation, graphical and cartographic. In addition, the use of such mathematical techniques as: correlation analysis, multiple regression, cluster and factor analysis. The approbation of this method on the example of the regions of Ukraine is carried out. In turn, the obtained calculations of the sub-indices of economic, social and environmental components and sustainable development of the regions as a whole will contribute to the development of measures to increase the level of sustainable development and achieve its goals.

Within the article, it is examined the dynamics of the integrated index of innovative development of the regions of Ukraine. It is proved that during the studied period there is no region that would have a constant positive trend for eight years. The authors argue that the main conditions for sustainable development of the regions are environmental protection, rational use of natural resources and environmental safety of human life. The integrated index of ecological development of the regions of Ukraine is calculated. Visualization of the dynamics of the values of the index of ecological development of the regions of Ukraine makes it possible to visually assess the asymmetry of ecological development of the regions. This strategic study can serve as a basis for further research to predict dynamic changes in the environment.

The purpose of this article is to improve the mechanism of economic security of enterprise`s strategic interests on example of machine-building enterprises of Ukraine. It is substantiated in article that existing and described in the literature mechanisms for ensuring strategic economic security have omissions. It is related with retrospective analysis of hazards (threats) and focus on resource provision. The article relations nonlinearity between level / state of economic security and results of its provision and management, provoked by influence of business environment factors beyond control of enterprise, is determined. It is proposed, in contrast to the approaches existing in the literature, to define mechanism of economic security of strategic interests as vision of dangers / threats and opportunities in future flow of events, which forms information basis for developing and implementing integrated set of management actions aimed at achieving and maintaining desired level (state) of economic security in long run. Developed mechanism is considered on example of machine-building enterprises of Ukraine. Influence of modern engineering technologies is taken into account. Analytical basis for realization of mechanism of maintenance of economic security of strategic interests of machine-building enterprises of Ukraine is developed. Its practical application will be useful for management personnel in the development and decision-making process to ensure the economic security of enterprises.