ИСТИНА

A nonlinear model of economic growth which involves production, technology stock, and their rates as the main variables is considered. The optimal control problem of R&D (Research and Development) investment is studied where the utility function characterizes the discounted consumption on the finite time segment. To construct the optimal solution of this problem the Pontryagin maximum principle is used. The optimality of an extreme solution is proved using the theorem about the sufficient optimality conditions in terms of the maximum principle. The results of numeric experiments are presented.