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Inverse Problem for the Sturm--Liouville Equation on a Simple Graph

✍ Scribed by Pivovarchik, Vyacheslav


Book ID
118200870
Publisher
Society for Industrial and Applied Mathematics
Year
2000
Tongue
English
Weight
217 KB
Volume
32
Category
Article
ISSN
0036-1410

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📜 SIMILAR VOLUMES


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

An inverse problem for Sturm–Liouville d
✍ V. Yurko 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 267 KB

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.