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

Athanasios A. Pantelous; Athanasios D. Karageorgos; Grigoris I. Kalogeropoulos; Kostas G. Arvanitis

doi:10.1155/2010/897301

Abstract and Applied Analysis (Jan 2010)

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

Athanasios A. Pantelous,
Athanasios D. Karageorgos,
Grigoris I. Kalogeropoulos,
Kostas G. Arvanitis

Affiliations

Athanasios A. Pantelous: Department of Mathematical Sciences, University of Liverpool, Peach Street, L69 7ZL Liverpool, UK
Athanasios D. Karageorgos: Department of Mathematics, University of Athens, GR-15784, Greece
Grigoris I. Kalogeropoulos: Department of Mathematics, University of Athens, GR-15784, Greece
Kostas G. Arvanitis: Department of Natural Resources Management and Agricultural Engineering, Agricultural University of Athens, GR-11855, Greece

DOI: https://doi.org/10.1155/2010/897301
Journal volume & issue: Vol. 2010

Abstract

Read online

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.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

About the journal