Ordinary differential equations and applications

Abstract

Differential equations can be viewed as a tool well suited to bring mathematics closer to real life and describe phenomena with an origin in physics, chemistry, biology, economics, etc. Of course, this "invites" scientists and engineers to use them. On the other hand, differential equations are at the starting point of a lot of purely mathematical activity. Thus, a large part of functional analysis has been motivated by the need to solve questions coming from the analysis of differential systems. The same can be said of numerical analysis