Vol. 31, No. 1, 1969

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ISSN: 0030-8730
On the zeros of the solutions of the differential equation y(n)(z) + p(z) = 0

Rina Hadass

Vol. 31 (1969), No. 1, 33–46
Abstract

In this paper sufficient conditions for disconjugacy and for nonoscillation of the equation y(n)(z) + p(z)y(z) = 0 are given. For n = 2m a theorem ensuring that no solution of this equation has two zeros of multiplicity m is obtained. Here the invariance of the equation under linear transformations of z is used.

Mathematical Subject Classification
Primary: 34.42
Milestones
Received: 29 February 1968
Published: 1 October 1969
Authors
Rina Hadass