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Title of Journal: Results Math

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Abbravation: Results in Mathematics

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Birkhäuser-Verlag

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10.1007/bf01362912

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1420-9012

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Matrix Representations of Sturm–Liouville Problems

Authors: Qingkai Kong Hans Volkmer Anton Zettl
Publish Date: 2009/03/03
Volume: 54, Issue: 1-2, Pages: 103-116
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Abstract

We identify a class of Sturm–Liouville equations such that any Sturm–Liouville SL problem consisting of such an equation and an arbitrary separated or coupled real selfadjoint boundary condition has a representation as an equivalent finite dimensional matrix eigenvalue problem Conversely given any matrix eigenvalue problem of certain type and an arbitrary separated or coupled real selfadjoint SL boundary condition we construct a class of Sturm–Liouville problems with the specified boundary condition each of which is equivalent to the given matrix eigenvalue problem

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