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Minors of the wronskian of the differential equation Lny+p(x)y=0

Published online by Cambridge University Press:  14 November 2011

Uri Elias
Uri Elias
Affiliation:
Department of Mathematics, Technion – Israel Institute of Technology, Haifa 32000, Israel
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Synopsis

The equation studied here is Lny +p(x)y = 0, where Ln is a disconjugate differential operator and p(x) is of a fixed sign. It is shown that certain minors of the wronskian of this equation satisfy a very similar differential equation Mnz +p(x)z =0. We prove that some properties of the original equation which are essential for oscillation theory are inherited by the solutions of the second one.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 106 , Issue 3-4 , 1987 , pp. 341 - 359
Copyright
Copyright © Royal Society of Edinburgh 1987

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