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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



On the location of zeros of oscillatory solution

Author: H. Gingold
Journal: Trans. Amer. Math. Soc. 279 (1983), 471-496
MSC: Primary 34C10
MathSciNet review: 709564
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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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Keywords: Oscillation, zeros, second order differential equations, oscillatory solution
Article copyright: © Copyright 1983 American Mathematical Society