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 | References | Similar Articles | Additional Information

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:
https://doi.org/10.1090/S0002-9939-97-04250-0

Received by editor(s):
April 17, 1996

Communicated by:
Hal L. Smith

Article copyright:
© Copyright 1997
American Mathematical Society