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On Borg’s method for non-selfadjoint Sturm–Liouville operators

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We prove local solvability and stability for the inverse problem of recovering a complex-valued square integrable potential in the Sturm–Liouville equation on a finite interval from spectra of two boundary… Click to show full abstract

We prove local solvability and stability for the inverse problem of recovering a complex-valued square integrable potential in the Sturm–Liouville equation on a finite interval from spectra of two boundary value problems with one common boundary condition. For this purpose we generalize classical Borg’s method to the case of multiple spectra.

Keywords: borg method; method non; non selfadjoint; sturm liouville

Journal Title: Analysis and Mathematical Physics
Year Published: 2019

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