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
✦ LIBER ✦
The third regularized trace formula for the Sturm–Liouville operator with the bounded operator coefficient
✍ Scribed by Özlem Bakṣi; Ehliman Adıgüzelov
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 308 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0895-7177
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The inverse problem of the scattering theory for Sturm-Liouville operator on the half line with boundary condition depending quadratic on the spectral parameter is considered. Scattering data are defined, some properties of the scattering data are examined, the main equation is obtained, solvability