Dynamic solutions of linear matrix differential equations

Authors:
Julio Cesar Ruiz-Claeyssen and Teresa Tsukazan

Journal:
Quart. Appl. Math. **48** (1990), 169-179

MSC:
Primary 34A30; Secondary 65L05

DOI:
https://doi.org/10.1090/qam/1040240

MathSciNet review:
MR1040240

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Abstract | References | Similar Articles | Additional Information

Abstract: We discuss the 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.

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DOI:
https://doi.org/10.1090/qam/1040240

Article copyright:
© Copyright 1990
American Mathematical Society