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On a problem of R. G. D. Richardson
Published online by Cambridge University Press: 20 January 2009
Abstract
In 1913 Richardson published necessary and sufficient conditions for a system of three Sturm–Liouville equations, linked by three parameters, to possess eigenfunctions with arbitrarily many zeros. His work contains errors, but we give conditions of his type valid for k self-adjoint equations, with k parameters.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 35 , Issue 3 , October 1992 , pp. 337 - 348
- Copyright
- Copyright © Edinburgh Mathematical Society 1992
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