In this work, we study the inverse problem for the Sturm-Liouville operator -D 2 + q with discontinuity boundary conditions inside a finite closed interval. Using spectral data of a kind, it is shown that the potential function q(x) can be uniquely determined by a set of values of eigenfunctions at
โฆ LIBER โฆ
On the generalized Sturm-Liouville problem for an equation with discontinuous solutions
โ Scribed by Yu. V. Pokornyi; M. B. Zvereva; S. A. Shabrov
- Publisher
- Springer US
- Year
- 2007
- Tongue
- English
- Weight
- 148 KB
- Volume
- 142
- Category
- Article
- ISSN
- 1573-8795
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## 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 SturmโLiouville boundary problem on a starโshaped graph. The obtained problem occurs also in quantum mechanics. The sp