A quantitave analysis of the cyclical macrodynamics of the technological development of Ukraine's economy

The author investigates the urgent problem of justification and quantitative analysis of mathematical regularities of cyclical technological and economic development for further development of managerial decisions on the creation of economic mechanisms to ensure accelerated introduction of technological novelties, change of the dominating outdated technologies and development of innovative high-tech waves. To investigate the change of technological waves, the author proposes a production function based on Solow function and the research by D.Romer, G.Mankiw and D.Weil with allowance made to the investments in fixed productive assets and human capital. A mathematical macromodel of technological change has been build, which consists of three stages: accumulation, return on accumulations and completion of the transition process. The proposed mathematical model of the change of technological waves makes it possible to determine the cycles and corresponding time intervals needed for the transition of Ukraine's economy to a higher stage of technological development, assessment of the impact of various factors of technological development on its duration, development of optimal regimes of investment in economy and efficient management of the country's technological and economic development. The obtained results prove the growing role of scientific and technological progress and innovative activities in economic growth, as well as the decisive role of the human factor, highly professional education, and scientific development on the way to technological modernization of Ukraine's economy.