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4.—An Algorithm for the Construction of all Disconjugate Operators.*†
Published online by Cambridge University Press: 14 February 2012
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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