Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
472444 | Computers & Mathematics with Applications | 2012 | 14 Pages |
Abstract
We identify a class of Sturm–Liouville equations with transmission conditions such that any Sturm–Liouville problem consisting of such an equation with transmission condition and an arbitrary separated or real coupled self-adjoint 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 real coupled self-adjoint boundary condition and transmission condition, we construct a class of Sturm–Liouville problems with this specified boundary condition and transmission condition, each of which is equivalent to the given matrix eigenvalue problem.
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Physical Sciences and Engineering
Computer Science
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Authors
Ji-jun Ao, Jiong Sun, Mao-zhu Zhang,