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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Oscillation results on linear systems of difference equations
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by Qingkai Kong PDF
Proc. Amer. Math. Soc. 123 (1995), 3057-3065 Request permission

Abstract:

We consider the difference system ${a_{n + 1}} - {a_n} + \sum \nolimits _{i = 1}^m {{Q_i}{a_{n - {k_i}}} = 0}$ where ${k_i} \in \mathbb {Z},{Q_i} \in {\mathbb {R}^{r \times r}},i = 1, \ldots ,m$, and systems of more general forms. We establish explicit conditions for the systems to be oscillatory. Those conditions are necessary and sufficient for special cases.
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 3057-3065
  • MSC: Primary 39A10; Secondary 34K15
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1291780-2
  • MathSciNet review: 1291780