The Mathematical Tools

In the present Part the classical theory of mathematical dynamics underlying dynamic economics will be applied paying special attention to the parameter conditions of existence of solutions in the applications of dynamics to economic theory. This has not been always done in economic applications, which suggests that a detailled introduction to the mathematical tools as applied here may be useful. It will be given in the present Chapter IV, in two Sections the first of which concerns the basic Hamilton-Jacobi formalism of classical dynamics.