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The inverse spectral problem for a Stieltjes eight-shaped string

✍ Scribed by Olga M. Martynyuk; Vyacheslav M. Pivovarchik

Publisher: Springer US
Year: 2011
Tongue: English
Weight: 209 KB
Volume: 178
Category: Article
ISSN: 1573-8795
DOI: 10.1007/s10958-011-0528-y

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## Abstract The problem of small vibrations of a graph consisting of __n__ smooth inhomogeneous stretched strings joined at the vertex with the pendant ends fixed is reduced to the Sturm–Liouville boundary problem on a star‐shaped graph. The obtained problem occurs also in quantum mechanics. The sp