Vol. 119, No. 2, 1985

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On the location of zeroes of oscillatory solutions of y(n) = c(x)y

Harry Gingold

Vol. 119 (1985), No. 2, 317–336
Abstract

We locate the zeroes of oscillatory solutions of wide classes of differential equations, y(n) = c(x)y. Asymptotic techniques are used. The asymptotic behaviour of solutions and their derivatives up to the n-th order are also provided.

New results are obtained in addition to old results becoming more transparent.

Mathematical Subject Classification 2000
Primary: 34C10
Milestones
Received: 3 March 1983
Published: 1 October 1985
Authors
Harry Gingold