Abstract and Applied Analysis
Volume 2010 (2010), Article ID 897301, 24 pages
doi:10.1155/2010/897301
Research Article

Solution Properties of Linear Descriptor (Singular) Matrix Differential Systems of Higher Order with (Non-) Consistent Initial Conditions

Athanasios A. Pantelous,1 Athanasios D. Karageorgos,2 Grigoris I. Kalogeropoulos,2 and Kostas G. Arvanitis3

1Department of Mathematical Sciences, University of Liverpool, Peach Street, L69 7ZL Liverpool, UK
2Department of Mathematics, University of Athens, GR-15784, Greece
3Department of Natural Resources Management and Agricultural Engineering, Agricultural University of Athens, GR-11855, Greece

Received 27 July 2009; Revised 11 December 2009; Accepted 27 January 2010

Academic Editor: Ağacık Zafer

Copyright © 2010 Athanasios A. Pantelous et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In some interesting applications in control and system theory, linear descriptor (singular) matrix differential equations of higher order with time-invariant coefficients and (non-) consistent initial conditions have been used. In this paper, we provide a study for the solution properties of a more general class of the Apostol-Kolodner-type equations with consistent and nonconsistent initial conditions.