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An Inverse Problem for a Sturm-Liouville Operator

✍ Scribed by B.D. Lowe; W. Rundell


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
278 KB
Volume
181
Category
Article
ISSN
0022-247X

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📜 SIMILAR VOLUMES


An Oscillation Theorem for a Sturm -Liou
✍ Martin Bohner 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 244 KB

We consider a certain Sturm -Liouville eigenvalue problem with self-adjoint and non ~ separated boundary conditions. We derive an explicit formula for the oscillation number of any given eigenfunction. 1991 Mathematics Subject Classification. 34 C 10. Keywords and phrases. Oscillation number, index

Inverse problem for the Sturm–Liouville
✍ V. Pivovarchik 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 268 KB

## 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