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On eigenvalues of matrices dependent on a parameter

✍ Scribed by P. Lancaster

Publisher: Springer-Verlag
Year: 1964
Tongue: English
Weight: 539 KB
Volume: 6
Category: Article
ISSN: 0029-599X
DOI: 10.1007/bf01386087

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## Abstract We consider the Sturm–Liouville problem (1.1) and (1.2) with a potential depending rationally on the eigenvalue parameter. With these equations a __λ__ ‐linear eigenvalue problem is associated in such a way that __L__~2~‐solutions of (1.1), (1.2) correspond to eigenvectors of a linear o