Inverse problem on the half-line for the Sturm-Liouville operator with periodic potential

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
Hauptverfasser: Khasanov, A. B., Yakhshimuratov, A. B.
Format: Artikel
Sprache:eng
Schlagworte:
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
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Beschreibung
Zusammenfassung: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.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266115010036