SOME FEATURES OF VARIATIONAL METHODS FOR SOLVING OPTIMAL CONTROL CLASSICAL MODEL OF ECONOMIC DYNAMICS
The variational formulation of the optimal control problems for consumer features classical macroeconomic models Harrod-Domar with variable coefficients of capital gains income, independent of time and Solow when the coefficients of the differential equation for the capital-are variable functions. The results obtained for the solutions of the Cauchy problem, consisting of differential equations model of macroeconomic dynamics Harrod-Domar and Solow and initial conditions, in the case of variable coefficients equations is much more important than the same solutions for constant coefficients due to the wider practical application. However, these solutions are much more complicated. In this review, we see that for a very important task to minimize the integral discounted utility of consumption is to increase the complexity of earlier decisions is not an insurmountable obstacle to the implementation of these productions. Despite the fact that much more difficult to solve problems, however, they successfully implemented. This review shows that the difficulties arising from the amplified productions successfully overcome.