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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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An oscillation condition for differential equations of arbitrary order
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by William F. Trench PDF
Proc. Amer. Math. Soc. 82 (1981), 548-552 Request permission

Abstract:

In separate papers, D. L. Lovelady has related oscillation of solutions of certain linear differential equations of odd order $\geqslant 3$ and even order $\geqslant 4$ to oscillation of an associated second order equation. This paper presents a unified proof of Lovelady’s results for equations of arbitrary order $\geqslant 3$. The results are somewhat more detailed and the equations need not be linear.
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 82 (1981), 548-552
  • MSC: Primary 34C10
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0614876-4
  • MathSciNet review: 614876