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The purpose of the chapter is to study the possibilities of systemic intellectual support for managerial decisions in modern business systems and perspectives of authomatization of this process on the basis of intellectual technologies.

The methodology of the chapter includes the methods of systemic and problem analysis, analysis of causal connections, modeling, and formalization.

Advantages of usage of technologies of intellectual support for decisions in modern business systems are substantiated; they are connected to multitask character, full determination of possibilities and problems of the business system regardless of employees’ involvement in this process, and “scale effect” during making of managerial decisions. Also, drawbacks of intellectual support for decision-making in modern business systems are determined: incompleteness of authomatization of the process of making of managerial decision, foundation primarily on digital data, necessity for complex digitization of the business system, and the problem of security of digital data and intellectual technologies.

Large opportunities of systemic intellectual support for managerial decisions in modern business systems and wide perspectives of almost full authomatization of this process on the basis of intellectual technologies, accessible at all stages of the process of decision-making, are determined. For this, an algorithm of complex intellectual support for decisions in a modern business system is offered. The obtained results allow determining intellectual technologies of support for managerial decisions in modern business systems as a perspective direction of improving this process.

The purpose of this chapter is to develop practical recommendations for monitoring and controlling the implementation of the optimization model of digital economy in modern Russia.

The authors use the methods of induction, deduction, synthesis, systemic and problem analysis, and formalization.

The authors develop and present recommendations for the establishment of planned values of the indicators that characterize digital economy in Russia until 2025, according to the treatment of factual values of these indicators, and for the correction of measures for regulating the process of digital economy’s formation depending on the values of these indicators. The practical recommendations offered for monitoring and controlling the implementation of the optimization model of digital economy allow creating a comprehensive and detailed national strategy and implementing it in the economic practice of modern Russia. The algorithm presented for this monitoring reflects a general logic involved in this process and opens possibilities for the manifestation of its flexibility and adaptation to each specific situation.

The developed algorithm of monitoring and control regarding the implementation of the optimization model of digital economy in modern Russia and the offered planned values of the indicators that characterize digital economy in Russia until 2025 are recommended for usage during development and implementation of the national strategy for digital economy’s formation in the Russian economic system.

Purpose: The purpose of this paper is to scientifically test the credibility (proof or refutation) of the existing argument for a technological leap in the COVID-19 pandemic and the post-pandemic period.

Design/Methodology/Approach: The conducted review of existing sources of research literature showed that they have formed an insufficient scientific background for a clear understanding of digital deprivation of services, social contradictions and conflict management as components of technological leap amid the COVID-19 pandemic and in the post-pandemic period. To fill the identified gap in the system of scientific knowledge, this work uses the method of comparative analysis of statistical data. Some countries of the world, the EU countries and the United States, which are characterized by the largest population and the largest contribution of investments to the digitalization of value chains and the development of innovations, were selected as objects for this study.

Findings: Research has shown that rapid digitalization is impacting all aspects of life, including not only how value is created and exchanged, but also how we interact, operate, purchase and receive services. In this process, data and its international flows are becoming increasingly important for development. The usual digital gap associated with connectivity, reflecting significant differences between and within countries in readiness to use the power of data, is exacerbated by what might be termed the data gap. Countries with limited opportunities to transform digital data into digital analytics and entrepreneurial opportunities, and to use them for economic and social development, are obviously at a disadvantage.

Originality/Value: Digital data have been proven to be one of the top strategic assets for creating both private and public value. Our ability to meet the Sustainable Development Goals (The 2030 Agenda for Sustainable Development, 2015) depends a lot on how these data are applied. The idea of sustainable development arose, as it is known, for overcoming significant fluctuations in the positive transformation of society, and for the alignment in the pace and results of the transition of various countries to the post-industrial scenario of progress. There are many obstacles on the path of sustainable development, which hinder the transition to this vector of transformation. First, the gap in economic and social development between the countries of the ‘golden billion’ and many other countries has not been reduced. Second, the digital gap continues to deepen. But a new and extremely threatening danger on the path to the transition to sustainable development has become the global crisis caused by the COVID-19 pandemic that emerged in early 2020 and is still ongoing.

Determining the right course for the future is a difficult task, but its solution cannot be postponed. Data are multidimensional, and their use has an impact not only on trade and economic development but also on human rights, peace and security. In addition, measures should be taken to reduce the risk of misuse and unauthorized use of digital data by states, non-states or the private sectors to avoid the possibility of global social conflict.

Purpose: The purpose of the work is to study the approaches to classification of modern business systems from business managers through the prism of making of managerial decisions.

Methodology: The methods of classification, comparative and systemic analysis, induction, deduction, and formalization are used.

Conclusions: As a result of the research, five conceptual approaches to classification of modern business systems are distinguished: organization-oriented, externally-oriented, management-oriented, socially-oriented, and innovations-oriented. Within each of them, various (mutually supplementing) criteria of classification are used, which allow distinguishing a lot of types of modern business systems. In the conditions of the Fourth Industrial Revolution, which includes transition to Industry 4.0, a new classification of modern business systems according to the criteria of their technological mode is offered, and the systems of the mode 3.0 and 4.0 are distinguished. Transition to the new technological mode is connected to additional business risks, which complicates the process of making of managerial decisions.

Originality/value: The performed analysis of classification of modern business systems from business managers showed that all peculiarities of these systems influence the process of making of managerial decisions in them, including the sectorial structure of business environment, size of business systems, sphere in which business systems function, involvement in business environment, internal and external integration of business systems, scale and complexity of business environment, organizational and legal form, business structure and business culture of business systems, types of benefits that they sell, level of legitimacy, responsibility, innovational activity, and technological mode of business systems.

The purpose of this paper is to consider the changing of profile of heterostructure during growth with changing of temperature of substrate.

The authors introduced an analytical approach for the analysis of technological process.

The authors formulate the condition for minimization of changing of the profile.

The approach gives a possibility to analyze mass and heat transports in a heterostructure without cross-linking of solutions on interfaces between layers of the heterostructure with account nonlinearity of these transports and variation in time of their parameters.