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Uniqueness Theorems for Inverse Problems of Discontinuous Sturm–Liouville Operator

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Abstract

In this paper, inverse spectral problems of discontinuous Sturm–Liouville problems contained in the discontinuous coefficient and discontinuity conditions at an interior point of the finite interval are, respectively, studied according to

  1. (i)

    the spectral data (the sequences of eigenvalues and normalized numbers) by using the Gelfand–Levitan–Marchenko method;

  2. (ii)

    the Weyl function.

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Authors and Affiliations

  1. Department of Mathematics, Mersin University, 33343, Mersin, Turkey

    Ozge Akcay

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  1. Ozge Akcay
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Correspondence to Ozge Akcay.

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Communicated by Syakila Ahmad.

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Akcay, O. Uniqueness Theorems for Inverse Problems of Discontinuous Sturm–Liouville Operator. Bull. Malays. Math. Sci. Soc. 44, 1927–1940 (2021). https://doi.org/10.1007/s40840-020-01041-3

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  • DOI: https://doi.org/10.1007/s40840-020-01041-3

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