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
ABI
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.
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