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    Title: Incomplete inverse spectral and nodal problems for differential pencils
    Authors: S. A. Buterin;Chung-Tsun Shieh
    Contributors: 淡江大學數學學系
    Keywords: Dfferential pencils;inverse spectral problems;inverse nodal problems;half inverse problem;oscillation theorem;nodal points
    Date: 2012-09-01
    Issue Date: 2013-09-06 10:45:25 (UTC+8)
    Publisher: Basel: Birkhaeuser Science
    Abstract: We prove uniqueness theorems for so-called half inverse spectral problem (and also for some its modification) for second order differential pencils on a finite interval with Robin boundary conditions. Using the obtained result we show that for unique determination of the pencil it is sufficient to specify the nodal points only on a part of the interval slightly exceeding its half.
    Relation: Results in Mathematics 62(1-2), pp.167-179
    DOI: 10.1007/s00025-011-0137-6
    Appears in Collections:[數學學系暨研究所] 期刊論文

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