Solution Properties of Linear Descriptor (Singular) Matrix Differential Systems of Higher Order with (Non-) Consistent Initial Conditions-Reference-Cited by-同舟云学术

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

Published:2010 Issue: Volume:2010 Page:1-24
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Pantelous Athanasios A.¹^ORCID,Karageorgos Athanasios D.²,Kalogeropoulos Grigoris I.²,Arvanitis Kostas G.³

Affiliation:

1. Department of Mathematical Sciences, University of Liverpool, Peach Street, L69 7ZL Liverpool, UK

2. Department of Mathematics, University of Athens, GR-15784, Greece

3. Department of Natural Resources Management and Agricultural Engineering, Agricultural University of Athens, GR-11855, Greece

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2010/897301.pdf

Reference15 articles.

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