Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 25, pp. 1-13.

Title: Higher-order linear matrix descriptor differential equations
       of Apostol-Kolodner type
   
Authors: Grigoris I. Kalogeropoulos (Univ. of Athens, Greece)
         Athanasios D. Karageorgos  (Univ. of Athens, Greece)
         Athanasios A. Pantelous    (City Univ., London, UK)

Abstract:
 In this article, we study a class of linear rectangular matrix descriptor
 differential equations of higher-order whose coefficients are square
 constant matrices. Using the Weierstrass canonical form,
 the analytical formulas for the solution of this general class is
 analytically derived, for consistent and non-consistent initial
 conditions.
 
Submitted November 4, 2008. Published February 03, 2009.
Math Subject Classifications: 34A30, 34A05, 93C05, 15A21, 15A22.
Key Words: Matrix pencil theory; Weierstrass canonical form;
           linear matrix regular descriptor differential equations