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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Oscillatory criteria for nonlinear matrix differential inequalities.
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by C. A. Swanson
Proc. Amer. Math. Soc. 24 (1970), 824-827
DOI: https://doi.org/10.1090/S0002-9939-1970-0259248-2

Abstract:

Oscillation criteria are established for nonlinear matrix differential equations of the form $[A(x)V’]’ + B(x,\;V,\;V’)V = 0$ and associated differential inequalities. The hypothesis used recently by E. C. Tomastik, that $A$ and $B$ are positive definite, is weakened to the following: $A$ is positive semidefinite.
References
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Bibliographic Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 24 (1970), 824-827
  • MSC: Primary 34.42
  • DOI: https://doi.org/10.1090/S0002-9939-1970-0259248-2
  • MathSciNet review: 0259248