Development of small innovative business in the Russian economy

The article is devoted to small entrepreneurship in the scientific and technical sphere, despite the recognition of its right to state support, it has a significant difference from scientific and technical and the so-called earlier implementation activities characteristic of the period preceding economic reforms. A significant place in the article is given to the development of mathematical modeling in the system of innovative entrepreneurship in modern crisis conditions. Adaptability and flexibility are considered as the most important indicators of the efficiency of structures, their ability to ensure sustainable operation and effective innovative development of small businesses. The issues of scientific, technical and innovative activities in small business and in the public sector of the economy on the conjugation of adaptability and flexibility are considered. A number of modern techniques related to the development of mathematical modeling of the development of small enterprises in innovative activities in a crisis are analyzed. The necessity of mathematical modeling as the main factor in the implementation of financial support for small business in innovation, for which conventional methods are unacceptable, has been substantiated. The proposed approach should be considered as a guideline when assessing the mechanism for allocating funds from the budget for the development of small business in innovation.