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
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
## 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