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

А. Б. ХасановUrgench State University, Urgench, UzbekistanA. B. YakhshimuratovUrgench State University, Urgench, Uzbekistan
Differential Equationsjournal2015en
ABI

Аннотация

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.

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