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A new approach for second‐order linear matrix descriptor differential equations of Apostol–Kolodner type
Author(s) -
Pantelous A. A.,
Karageorgos A. D.,
Kalogeropoulos G. I.
Publication year - 2013
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2824
Subject(s) - mathematics , type (biology) , class (philosophy) , constant (computer programming) , constant coefficients , matrix (chemical analysis) , order (exchange) , linear differential equation , transformation (genetics) , differential equation , canonical form , mathematical analysis , pure mathematics , transformation matrix , materials science , artificial intelligence , ecology , chemistry , computer science , composite material , biology , biochemistry , kinematics , classical mechanics , programming language , physics , finance , economics , gene
In this paper, we study a class of linear second‐order matrix descriptor differential equations of Apostol–Kolodner type with constant coefficients. In the new approach, we propose a different transformation from what Kalogeropoulos et al . (2009) have used in their recent paper. However, similarly with them, the Weierstrass canonical form has been considered, and the analytical formula for the solution of this general class is derived naturally for consistent initial conditions. Copyright © 2013 John Wiley & Sons, Ltd.