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An Oscillation Condition for Differential Equations of Arbitrary Order

William F. Trench
Proceedings of the American Mathematical Society
Vol. 82, No. 4 (Aug., 1981), pp. 548-552
DOI: 10.2307/2043769
Stable URL: http://www.jstor.org/stable/2043769
Page Count: 5
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
An Oscillation Condition for Differential Equations of Arbitrary Order
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Abstract

In separate papers, D. L. Lovelady has related oscillation of solutions of certain linear differential equations of odd order $\geqslant3$ and even order $\geqslant4$ to oscillation of an associated second order equation. This paper presents a unified proof of Lovelady's results for equations of arbitrary order $\geqslant3$. The results are somewhat more detailed and the equations need not be linear.

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