𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

No coin nor oath required. For personal study only.

✦ 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


On an inverse eigenvalue problem for a s
✍ Peter Zhidkov 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 188 KB

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

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