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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


On the conjugate points of fourth order, selfadjoint linear differential equations

Authors: G. J. Etgen and J. B. Scott
Journal: Proc. Amer. Math. Soc. 29 (1971), 349-350
MSC: Primary 34.42
MathSciNet review: 0280795
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Abstract: In a fundamental paper, W. Leighton and Z. Nehari studied the oscillation of solutions of fourth order, selfadjoint differential equations. One of their principal results is a characterization of the conjugate points. In this characterization, however, the proof of the essential uniqueness of the solutions determining the conjugate points is not complete. The purpose of this note is to complete their proof thereby establishing the essential uniqueness of the solutions involved in characterizing the conjugate points.

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PII: S 0002-9939(1971)0280795-2
Keywords: Fourth order, selfadjoint differential equations, oscillation of solutions, conjugate points
Article copyright: © Copyright 1971 American Mathematical Society

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