On the location of zeros of oscillatory solution

Gingold, H.

doi:10.1090/S0002-9947-1983-0709564-6

On the location of zeros of oscillatory solution
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Trans. Amer. Math. Soc. 279 (1983), 471-496 Request permission

Abstract:

The location of zeros of solutions of second order singular differential equations is provided by a new asymptotic decomposition formula. The approximate location of zeros is provided with high accuracy error estimates in the neighbourhood of the point at infinity. The same asymptotic formula suggested is applicable to the neighbourhood of most types of singularities as well as to the neighbourhoods of regular points.

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Uber die reellen Losungen der linearen Differentialgleichungen zweiter Ordnung

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