Higher-order linear matrix descriptor differential equations of apostol-kolodner type

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

Higher-order linear matrix descriptor differential equations of apostol-kolodner type

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

Research output: Contribution to journal › Article › Research › peer-review

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.

Original language	English
Pages (from-to)	1-13
Number of pages	13
Journal	Electronic Journal of Differential Equations
Volume	2009
Publication status	Published - 2 Jan 2009
Externally published	Yes

Keywords

Linear matrix regular descriptor differential equations
Matrix pencil theory
Weierstrass canonical form

Cite this

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title = "Higher-order linear matrix descriptor differential equations of apostol-kolodner type",

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.",

keywords = "Linear matrix regular descriptor differential equations, Matrix pencil theory, Weierstrass canonical form",

author = "Kalogeropoulos, \{Grigoris I.\} and Karageorgos, \{Athanasios D.\} and Pantelous, \{Athanasios A.\}",

year = "2009",

month = jan,

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language = "English",

volume = "2009",

pages = "1--13",

journal = "Electronic Journal of Differential Equations",

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publisher = "Texas State University",

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T1 - Higher-order linear matrix descriptor differential equations of apostol-kolodner type

AU - Kalogeropoulos, Grigoris I.

AU - Karageorgos, Athanasios D.

AU - Pantelous, Athanasios A.

PY - 2009/1/2

Y1 - 2009/1/2

N2 - 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.

AB - 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.

KW - Linear matrix regular descriptor differential equations

KW - Matrix pencil theory

KW - Weierstrass canonical form

UR - https://www.scopus.com/pages/publications/61449182558

M3 - Article

AN - SCOPUS:61449182558

SN - 1072-6691

VL - 2009

SP - 1

EP - 13

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Higher-order linear matrix descriptor differential equations of apostol-kolodner type

Abstract

Keywords

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