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Uniqueness of the Matrix Sturm-Liouville Equation given a Part of the Monodromy Matrix, and Borg Type Results

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Sturm-Liouville Theory

Abstract

Uniqueness of the matrix Sturm-Liouville equation is investigated, given a part of its monodromy matrix. Generalizations of Borg’s theorem and the Hochstadt-Lieberman result for the matrix Sturm-Liouville equation are presented.

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Authors and Affiliations

  1. Department of Mathematics, Donetsk National University, Universitetskaya Str. 24, Donetsk, 83055, Ukraine

    Mark M. Malamud

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  1. Mark M. Malamud
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Editors and Affiliations

  1. Section de Physique, Université de Genève, 24, quai Ernest-Ansermet, 1211, Genève 4, Switzerland

    Werner O. Amrein

  2. Mathematisches Institut, Universität München, Theresienstrasse 39, D-80333, München, Germany

    Andreas M. Hinz

  3. Department of Mathematics, University of Hull, Cottingham Road, Hull, HU6 7RX, UK

    David P. Pearson

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Malamud, M.M. (2005). Uniqueness of the Matrix Sturm-Liouville Equation given a Part of the Monodromy Matrix, and Borg Type Results. In: Amrein, W.O., Hinz, A.M., Pearson, D.P. (eds) Sturm-Liouville Theory. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7359-8_11

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