Electron. J. Diff. Eqns., Vol. 2009(2009), No. 25, pp. 1-13.

Higher-order linear matrix descriptor differential equations of Apostol-Kolodner type

Grigoris I. Kalogeropoulos, Athanasios D. Karageorgos, Athanasios A. Pantelous

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 3, 2009.
Math Subject Classifications: 34A30, 34A05, 93C05, 15A21, 15A22.
Key Words: Matrix pencil theory; Weierstrass canonical form; linear matrix regular descriptor differential equations

Show me the PDF file (248 KB), TEX file, and other files for this article.

Grigoris I. Kalogeropoulos
Department of Mathematics,
University of Athens, Athens, Greece
email: gkaloger@math.uoa.gr
Athanasios D. Karageorgos
Department of Mathematics,
University of Athens, Athens, Greece
email: athkar@math.uoa.gr
Athanasios A. Pantelous
School of Engineering and Mathematical Sciences, City University
Northampton Square, London, EC1V 0HB, UK
email: Athanasios.Pantelous.1@city.ac.uk

Return to the EJDE web page