FIRST-ORDER DIFFERENCE SYSTEM - EXISTENCE AND UNIQUENESS

Authors
MURTY KN ANAND PVS PRASANNAM VL
Citation
Kn. Murty et al., FIRST-ORDER DIFFERENCE SYSTEM - EXISTENCE AND UNIQUENESS, Proceedings of the American Mathematical Society, 125(12), 1997, pp. 3533-3539
Citations number
7
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
12
Year of publication
1997
Pages
3533 - 3539
Database
ISI
SICI code
0002-9939(1997)125:12<3533:FDS-EA>2.0.ZU;2-5
Abstract
In this paper, the general solution of the homogeneous matrix differen ce system is constructed in terms of two fundamental matrix solutions. The general solution of the inhomogeneous matrix difference system is established by the variation of parameters formula. A unique solution of the two-point boundary value problem associated with the matrix di fference system is constructed by applying the QR-algorithm and the Ba rtels-Stewart algorithm.