Year: 1991
Author: Lucas Jódar, E. Navarro
Journal of Computational Mathematics, Vol. 9 (1991), Iss. 4 : pp. 305–313
Abstract
In this paper we present a method for solving the matrix differential equation $X^{(2)}(t)-AX(t)=F(t)$, without increasing the dimension of the problem. By introducing the concept of co-square root of a matrix, existence and uniqueness conditions for solutions of boundary value problems related to the equation as well as explicit solutions of these solutions are given, even for the case where the matrix $A$ has no square roots.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1991-JCM-9405
Journal of Computational Mathematics, Vol. 9 (1991), Iss. 4 : pp. 305–313
Published online: 1991-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9