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On Conditions for Transmission in the Sturm-Liouville Problem on a Network

✍ Scribed by Yu. V. Pokorny; V. L. Pryadiev

Publisher: Springer US
Year: 2005
Tongue: English
Weight: 375 KB
Volume: 130
Category: Article
ISSN: 1573-8795
DOI: 10.1007/s10958-005-0394-6

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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