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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/120699

    Title: Partial inverse problems for quadratic differential pencils on a graph with a loop
    Authors: Natalia P. Bondarenko;Chung-Tsun Shieh
    Keywords: Partial inverse spectral problem;differential pencil;quantum graph;uniqueness theorem;Riesz basis
    Date: 2020-05-15
    Issue Date: 2021-05-04 12:11:35 (UTC+8)
    Publisher: De Gruyter
    Abstract: In this paper, partial inverse problems for the quadratic pencil of Sturm–Liouville operators on agraph with a loop are studied. These problems consist in recovering the pencil coefficients on one edge of thegraph (a boundary edge or the loop) from spectral characteristics, while the coefficients on the other edgesare known a priori. We obtain uniqueness theorems and constructive solutions for partial inverse problems.
    Relation: Journal of Inverse and Ill-posed Problems 28(3), p.449–463
    DOI: 10.1515/jiip-2018-0104
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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