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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/58775


    Title: Recovering the Sturm-Liouville Operator with Singular Potential Using Nodal Data
    Authors: Ignatiev, Mikhail Yu;Shieh, Chung-Tsun
    Contributors: 淡江大學數學學系
    Keywords: Sturm-Liouville operators;inverse nodal problems
    Date: 2010-03-01
    Issue Date: 2011-10-01 21:10:16 (UTC+8)
    Publisher: Basel: Birkhaeuser Verlag AG
    Abstract: The paper deals with the Sturm-Liouville operator with singular potential. We assume that the potential is a sum of an a priori known distribution from a certain class and an unknown sufficiently smooth function. The inverse problem is to recover the operator using zeros of eigenfunctions (nodes) as an input data. For this inverse problem we obtain a procedure for constructing the solution.
    Relation: Results in Mathematics 57(1-2), pp.183-194
    DOI: 10.1007/s00025-009-0016-6
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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