An inverse problem for Sturm–Liouville differential operators on A-graphs
✍ Scribed by V. Yurko
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 267 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0893-9659
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✦ Synopsis
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.
📜 SIMILAR VOLUMES
The following problem is considered: where λ is a spectral parameter. The inverse problem is studied: a subsequence λ n → +∞ of the sequence of eigenvalues is given and odd f is the unknown quantity. A description of the whole class of solutions of this problem is obtained. In addition, it is prove
## 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