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- Title
Inverse problem on the half-line for the Sturm-Liouville operator with periodic potential.
- Authors
Khasanov, A.; Yakhshimuratov, A.
- Abstract
We study the inverse spectral problem on the half-line for the Sturm-Liouville operator with periodic potential. We derive a formula expressing the boundary condition via the spectral data and an analog of Dubrovin's system of differential equations and present an algorithm for constructing the potential.
- Subjects
DIFFERENTIAL operators; NUMERICAL solutions to Sturm-Liouville equations; NUMERICAL solutions to differential equations; NUMERICAL solutions to boundary value problems; ALGORITHMS
- Publication
Differential Equations, 2015, Vol 51, Issue 1, p23
- ISSN
0012-2661
- Publication type
Article
- DOI
10.1134/S0012266115010036