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Inverse problems for the matrix Sturm–Liouville equation with a Bessel-type singularity

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ABSTRACT The matrix Sturm–Liouville equation on a finite interval with a Bessel-type singularity in the end of the interval is studied. We consider inverse problems by the Weyl matrix and… Click to show full abstract

ABSTRACT The matrix Sturm–Liouville equation on a finite interval with a Bessel-type singularity in the end of the interval is studied. We consider inverse problems by the Weyl matrix and by the spectral data for this equation. Constructive solutions, based on the method of spectral mappings, are obtained for these inverse problems.

Keywords: sturm liouville; liouville equation; inverse problems; matrix sturm; equation; bessel type

Journal Title: Applicable Analysis
Year Published: 2018

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