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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

First order difference system-
existence and uniqueness


Authors: K. N. Murty, P. V. S. Anand and V. Lakshmi Prasannam
Journal: Proc. Amer. Math. Soc. 125 (1997), 3533-3539
MSC (1991): Primary 39A10, 34B05
MathSciNet review: 1443846
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Abstract: In this paper, the general solution of the homogeneous matrix difference 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 difference system is constructed by applying the QR-algorithm and the Bartels-Stewart algorithm.


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Additional Information

K. N. Murty
Affiliation: Department of Applied Mathematics, Andhra University, Visakhapatnam - 530 003, India

V. Lakshmi Prasannam
Affiliation: Department of Mathematics, Post Graduate Centre, P. B. Siddhartha College Of Arts & Science, Vijayawada - 520 010, India

DOI: http://dx.doi.org/10.1090/S0002-9939-97-04250-0
PII: S 0002-9939(97)04250-0
Received by editor(s): April 17, 1996
Communicated by: Hal L. Smith
Article copyright: © Copyright 1997 American Mathematical Society