TY - JOUR
T1 - Solving Boundary Value Problems for the Matrix Equation $X^{(2)}(t)-AX(t)=F(t)$
AU - Jódar , Lucas
AU - Navarro , E.
JO - Journal of Computational Mathematics
VL - 4
SP - 305
EP - 313
PY - 1991
DA - 1991/09
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9405.html
KW - 
AB - <p style="text-align: justify;">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.</p>