Inverse problem on the half-line for the Sturm-Liouville operator with periodic potential
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 pote...
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| Veröffentlicht in: | Differential equations 2015, Vol.51 (1), p.23-32, Article 23 |
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| container_title | Differential equations |
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| creator | Khasanov, A. B. Yakhshimuratov, A. B. |
| description | 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. |
| doi_str_mv | 10.1134/S0012266115010036 |
| format | Article |
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| ispartof | Differential equations, 2015, Vol.51 (1), p.23-32, Article 23 |
| issn | 0012-2661 1608-3083 |
| language | eng |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Algorithms Boundary conditions Boundary value problems Construction Difference and Functional Equations Differential equations Inverse Inverse problems Mathematical analysis Mathematics Mathematics and Statistics Operators Ordinary Differential Equations Partial Differential Equations Spectra Studies |
| title | Inverse problem on the half-line for the Sturm-Liouville operator with periodic potential |
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