Innovative development of domestic enterprises in terms of integration into the world economy

The article suggests practical recommendations to improve the management of innovative development of engineering enterprises to enhance their competitiveness in terms of integration into the world economy through the application of mathematical methods. Innovation activities of enterprises and their innovative development are important aspects of increasing the efficiency of domestic enterprises in the framework of improving their competitiveness in the international arena. Proposed to improve the development of innovative companies in the industry with the use of mathematically based methods namely, multiple regressions, which is used to obtain clear results of the study and apply them in the context of improving the mechanism of enterprise management engineering. According to the results of the correlation refined level of innovation activity of enterprises of mechanical engineering, depending on the value of the research and teaching of investment projects, the scope of intellectual property in the enterprise, the cost of equipment experimental instrumentation applications, the number of staff employed in research and development of employees, revenue from the sale of new or improved products, manufactured using new or improved technologies, the percentage of enterprises in the total production engineering of CIS countries and the EU. Identified indicators of innovation activities of enterprises with the greatest weight in the framework of innovation. Depending on the characteristics of the key factors influence the development of innovative enterprises of mechanical engineering at the level of innovation activity due to improving the management of innovative approaches to enterprise development.