Households play one of the key roles in the development of the financial system of any country and the national economy in general. It is the understanding of the behavior of these economic entities in the market of financial services that makes it possible to predict the development of such a market, to understand the mechanisms of the emergence of dissipative processes in the interaction of households and financial institutions, which can form crisis phenomena in the development of such a system and restrain the innovative development of the national economy. This determines the importance and relevance of further research in this direction. Within the article, the impact of modern digital technologies on the development of financial services, in particular financial behavior of households, in the conditions of the formation and active development of the innovative economy is considered. Significant attention is paid to the specification of the methodology for determining the impact of the digitization index and the index of the model transformation of financial behavior of households. It is established that the outlined models are specific and different between various regions in any country. That is why the above method of calculation was used on the example of Ukraine. As a result, information was obtained on the digitalization index, and the transformation index of the financial behavior model of households in twenty-four regions of Ukraine. Based on the use of econometric analysis, algebraic equations of the dependence of the transformation index of the model of financial behavior of households on the digital technologies development in each of the outlined regions were determined.

The article reveals the essence of the concept of “financial innovations” and their features. The classification of financial innovations is given. The innovative models of the Ukrainian banking business development are analysed. The innovative developments of the world’s leading banks are systematized according to the version of the annual competition for the BAI-Finance Global Banking Innovation Awards held in Las Vegas. The innovative and information technologies in the work of financial institutions in the following areas are analysed: Product and Service Financial Innovation, Channel Financial Innovation, Financial Innovation in Social and Community Impact, Financial Innovation in Internal Process Improvement. Foreign experience and features of the development of the newest innovative information technologies in the financial services market are analysed. The subject of research is theoretical and applied aspects of the development of innovations and information technologies in the functioning of world-class financial institutions. The purpose of the article is to analyse and systematize foreign experience in the development of new innovative and information technologies in the financial services market. In the research, the authors used general scientific and specific methods, including: historical-logical, dialectical, deductive, analysis and synthesis, grouping, abstraction and formalization, benchmarking, generalizations and systematization. The article concludes that in modern rapidly evolving digitalization processes, financial innovations play an extremely important role and contribute to the economic development of countries. The authors point out that banking institutions need to focus their potential as much as possible on identifying priority digital and innovative initiatives, taking into account current challenges and threats. Finally, the effective use of specific financial innovations requires in-depth knowledge of the features of their operation and careful analysis of their consequences. The authors recommend the use of a cross-functional approach, which provides flexibility and the ability to transform change over time and is an important element in the process of implementing financial innovations. Taking into account the experience of leading banking institutions that actively implement innovative developments, the authors note that along with the benefits, financial innovations can cause new challenges and threats for all participants in this process. Researchers have shown that radical innovation can displace a dominant business model or technology and create a new market. According to the results of the analysis of innovative developments of banks around the world for the period 2015-2019, the authors found that financial innovations have changed their nature and are based on the latest digital technologies.

In this study, a methodological approach based on the model of the differential equations system to determine the impact of the functions of public administration of the regional development in the context of digital transformation is proposed. As digital transformation involves changes in management models of systems at different levels in order to improve their efficiency, this also applies to public management of the regional development. Based on the system approach, social, reproductive and mobilizing functions of state management of the regional development were singled out. To determine the impact of public administration functions on the regional development, it is proposed to use a model of differential equations. Different weights of the influence of the functions of state management of the regional development in the conditions of digital transformation are characterized by dynamic changes in the amplitude of fluctuations of integral indices of the modules of the functionalities of social, reproductive and mobilization functions. Scientific novelty of this study is the development of a methodological approach based on the model of the differential equations system to determine social, reproductive and mobilizing functions of public administration of the regional development in the context of digital transformation.

The purpose of the article is to study the role of higher education in the development of the digital economy. To achieve the goal, the authors used the methods of analysis and synthesis; content analysis; scientific abstraction and systematization. The authors conclude that promising areas for strengthening the positive impact of higher education on the development of the digital economy are: improving dual education to provide the national economy with personnel capable of innovative thinking and action; introduction of lifelong learning programs, short-term highly specialized training programs; formation of information and innovation cultures in society; generation of innovative ideas and their commercialization in the real sector of the economy; supporting the development of innovation and information infrastructures; support for youth innovation projects; increasing the level of the English language proficiency in order to expand the opportunities for participation of universities in international research and educational projects.

The purpose of the article is to study the peculiarities of the management of foreign economic activity of enterprises in current conditions of sustainable development. To achieve the goal of the article, in the study, the following scientific methods are used, namely: analysis and synthesis - to determine approaches to understanding the concept of foreign economic activity and levels of its implementation; statistical - to form the indicators that characterize the state of foreign economic activity in Ukraine; grouping - to obtain groups of regions according to the level of foreign trade turnover; cartographic - to visualize the received groups of regions on the indicators of foreign economic activity; graphic - to visualize the system of foreign economic activity in terms of the need to achieve the stability of regions, enterprises as a leading subject of foreign economic activity and the peculiarities of foreign economic activity of the enterprise in modern conditions. Within the article, the factors of external and internal environment, on which depends the effectiveness of foreign economic activity, are considered. The systems of management of foreign economic activity of the enterprise are studied and characterized. Trends of the development and current state of foreign economic activity in the regions of Ukraine are studied. The grouping of the regions of Ukraine according to the activity of conducting foreign economic activity was carried out, with the separation of the leading and the outsider regions. According to the results of the research, the peculiarities of foreign economic activity of enterprises in modern conditions are identified and outlined, among which the following are singled out: spread of integration processes, structural transformations of the international division of labor, strengthening the role of the state in joining the world economic system.

The article offers aqualimetric assessment of the innovation in regional economic systems, taking into account digitization. The study was based on the methodology of general scientific methods of cognition and special methods of scientific research in the field of the development of productive forces and regional economy. Namely, we used the dialectical method of scientific cognition to identify contradictions and interrelations of innovative development of the subjects of regional economic systems; analysis and synthesis to identify the mechanism for identifying and implementing priority areas of innovation in the regions; the grouping method for clustering regions according to the calculated values of the integrated index of innovation of the regions of Ukraine and Poland; statistical and economic-mathematical modeling for calculations and modeling of innovation of regions, and other methods. The calculations and analysis of the values of integrated indices of innovation activity in the regions of Ukraine and Poland are performed. These regions are grouped according to this indicator. The cartographic analysis is presented, and the region leaders, region outsiders, and regions with the average value of the integrated index of innovation are singled out. This study has theoretical and applied significance for the development of productive forces and regional economy as it provides for the development of a methodological approach to assessing the innovation activity of the regions of Ukraine and Poland, taking into account digitalization processes.