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6 Sturm-Liouville Eigenvalue Problems

6 Sturm-Liouville Eigenvalue Problems

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Liouville theory. The interested reader can review the literature and more advanced texts for a more in depth analysis. We define the Sturm-Liouville operator as L = d dx p(x) d dx +q(x). (6.2) The Sturm-Liouville eigenvalue problem is given by the differential equation Lu = −λσ(x)u, or d dx p(x) du dx +q(x)u +λσ(x)u = 0, (6.3) for x ...

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