Dynamic solutions of linear matrix differential equations

Author:

Ruiz-Claeyssen Julio Cesar,Tsukazan Teresa

Abstract

We discuss the m m th-order linear differential equation with matrix coefficients in terms of a particular matrix solution that enjoys properties similar to the exponential of first-order equations. A new formula for the exponential matrix is established with dynamical solutions related to the generalized Lucas polynomials.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

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1. On the generalized Apostol-Kolodner differential equation of the second-order;Boletim da Sociedade Paranaense de Matemática;2024-05-31

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