A new approach for second‐order linear matrix descriptor differential equations of Apostol–Kolodner type. (28th May 2013)

• Record Type: Journal Article
• Authors: Pantelous, A. A.; Karageorgos, A. D.; Kalogeropoulos, G. I.; Barbatis, Gerassimos; Stratis, Ioannis
• Is Part Of: Mathematical methods in the applied sciences. Volume 37:Number 2(2014:Jan. 30)
• Page Start: 257
• Page End: 264
• Publication Date: 2013-05-28
• Subjects: Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.2824
• Languages: English
• ISSNs: 0170-4214

Abstract

<abstract abstract-type="main" id="mma2824-abs-0001"> <title> <x xml:space="preserve">Abstract</x> </title> <p>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 <italic>et al</italic>. (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 &amp; Sons, Ltd.</p> </abstract>