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), 35333539
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 twopoint boundary value problem associated with the matrix difference system is constructed by applying the QRalgorithm and the BartelsStewart 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/S0002993997042500
PII:
S 00029939(97)042500
Received by editor(s):
April 17, 1996
Communicated by:
Hal L. Smith
Article copyright:
© Copyright 1997
American Mathematical Society
