Differential equations with natural matrices coefficients
Date
2020Author
Acosta-Humánez, P.
Ramírez-López, J.
Institutions
Abstract
In this paper we present the main results of the master thesis in applied mathematics
of the second named author, which was supervised by the first named author. Such results, and
for instance this paper, concerns to some differential and algebraic results involving natural
matrices. The problem of solving differential equations is very ancient and is very important to
get explicit solutions of differential equations to be applied in physics and other areas. In this
paper, as well in the master thesis, we study the differential and algebraic structure of linear
differential equations with natural matrix coefficients and generalizations. These results are
original and important for researchers interested in differential algebra and applications of
differential equations.