On the oscillation of differential equations with an oscillatory coefficient

Harris, B. J.; Kong, Q.

doi:10.1090/S0002-9947-1995-1283552-4

On the oscillation of differential equations with an oscillatory coefficient
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by B. J. Harris and Q. Kong

Trans. Amer. Math. Soc. 347 (1995), 1831-1839

DOI: https://doi.org/10.1090/S0002-9947-1995-1283552-4

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Abstract:

We derive lower bounds for the distance between consecutive zeros of solutions of \[ ( * )\quad y" + q(t)y = 0\] when $q$ takes both positive and negative values. We apply our results to the limit point/limit circle classifications of $( * )$.

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