Ecuaciones diferenciales lineales que dependen del tiempo de manera periódica y casi-periódica

Abstract

[en] The differential equations are, in general, impossible to solve analytically. However, there are some numerical methods whose goal is finding their solutions approximately. The goal of this memoir is about applying a perturbation to a linear differential equations system that depends of time in a periodic and almost periodic way, and, using a resursive method, getting a constant differential equations system wich will let us to find the solutions of our initial system. We will use Fourier Series to develop these methods.