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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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A characterization of positive linear functionals and oscillation criteria for matrix differential equations
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by Terry Walters PDF
Proc. Amer. Math. Soc. 78 (1980), 198-202 Request permission

Abstract:

Etgen and Pawlowski have recently given criteria for oscillation of matrix differential equations which involve the value of positive linear functionals on the matrices appearing in a matrix differential equation. We characterize these functionals and indicate relationships to eigenvalue criteria for oscillation. Our results are also useful for the detection of the oscillation of particular matrix differential equations.
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 78 (1980), 198-202
  • MSC: Primary 34C10; Secondary 34G10
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0550493-1
  • MathSciNet review: 550493