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arXiv · 1509.06234

Recovery of the matrix quadratic differential pencil from the spectral data

Natalia Bondarenko
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Abstract

We consider a pencil of matrix Sturm-Liouville operators on a finite interval. We study properties of its spectral characteristics and inverse problems that consist in recovering of the pencil by the spectral data: eigenvalues and so--called weight matrices. This inverse problem is reduced to a linear equation in a Banach space by the method of spectral mappings. Constructive algorithm for the solution of the inverse problem is provided.

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Natalia Bondarenko. 2015-09-21. Recovery of the matrix quadratic differential pencil from the spectral data. https://doi.org/10.1515/jiip-2014-0074

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