Object of research: The formation and distribution of money income in spatially structured section; objective: to study the theoretical and methodological development and implementation of the provisions of the complex economic and mathematical models of analysis and forecasting spatial-structural differentiation of incomes of the population, aimed at identifying areas of social and economic development in the area of ??territorial proportions balance, achieving positive changes in terms of the level and quality life of the population of Ukraine, regardless of its geographical location; research methods and equipment: stochastic modeling, mathematical statistics, theory of differential equations, correlation analysis, optimization methods and models, scenario modeling and forecasting, dynamic modeling, econometric modeling based on panel data analysis, aggregation and disaggregation, the dialectic, the theory of logic and content analysis, comparison, a graphical analysis; theoretical and practical results: the concept of space-structural differentiation of incomes of the population based on the theory of stochastic modeling, in which the system is built and implemented models for the distribution of money income of the population in a spatially-structured section; developed a gravity model of distribution of money income of the population, based on probabilistic estimates of inequality of income distribution of money considering the sources of their formation in the spatial section; forecasting model developed cash income based on diffusion equations within the parameters of social comparison; built according to statistical distribution of incomes of the population on the basis of heterogeneous kinetic models, which reflect the temporal evolution of an asymmetric distribution; developed a method of decomposition of the Gini coefficient based on the theory of disaggregation; mathematical tools to determine the adequate type of distribution function of monetary incomes of the population; cascade model benefits; clarification of the conceptual apparatus of differentiation; Methods scenario forecasting indicators of regional development; model of the relationship of inequality of income distribution and economic growth; stochastic models of distribution of money income of the population; the degree of implementation: development introduced into practice the Ministry of Finance, Department of Economics of the Ivano-Frankivsk Regional State Administration, Kharkiv Regional State Administration Entrepreneurship Support Fund, the Research Center of Industrial Development Problems of NAS of Ukraine, in the learning process SHEE "Carpathian National University named after Vasyl Stefanik"; Areas of use: modeling spatial-structural differentiation of incomes of the population
