Inverse Sturm-Liouville problem on a figure-eight graph
✍ Scribed by A. M. Gomilko; V. N. Pivovarchik
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 244 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0041-5995
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## 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
An inverse problem of spectral analysis is studied for Sturm-Liouville differential operators on a A-graph with the standard matching conditions for internal vertices. The uniqueness theorem is proved, and a constructive solution for this class of inverse problems is obtained.