Qualitative investigation of a model of economic growth

This work addresses the mathematical aspects of a model of economic growth. The system of general differential equations that describes the double-sectional model of economic growth with interindustrial linkages was qualitatively investigated. By using averaging over fast oscillations a system of nonlinear differential equations was obtained. Averaging was justified by the interpretation of N.N. Bogolubov's first fundamental theorem. For this system it has been possible to construct a phase pattern. The modes of balanced growth were also studied.