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4.—An Algorithm for the Construction of all Disconjugate Operators.*†

Published online by Cambridge University Press:  14 February 2012

Anton Zettl
Anton Zettl
Affiliation:
Department of Mathematics, University of Dundee and Northern Illinois University, De Kalb, Illinois.
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Synopsis

A differential operator (1) Ly = y(n) + an-1(t)y(n-1) +…+ao(t)y is said to be disconjugate on an interval I if every non-trivial solution of Ly = 0 has less than n zeros on I, multiple zeros being counted according to their multiplicity. An algorithm for the construction of disconjugate operators of type (1) is given here. All such operators are obtained at least in the case when the interval I is open or compact.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 75 , Issue 1 , 1976 , pp. 33 - 40
Copyright
Copyright © Royal Society of Edinburgh 1976

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