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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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First order difference system- existence and uniqueness
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by K. N. Murty, P. V. S. Anand and V. Lakshmi Prasannam
Proc. Amer. Math. Soc. 125 (1997), 3533-3539
DOI: https://doi.org/10.1090/S0002-9939-97-04250-0
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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.
References
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Bibliographic 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
  • Received by editor(s): April 17, 1996
  • Communicated by: Hal L. Smith
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 3533-3539
  • MSC (1991): Primary 39A10, 34B05
  • DOI: https://doi.org/10.1090/S0002-9939-97-04250-0
  • MathSciNet review: 1443846