淡江大學機構典藏:Item 987654321/58746
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    Title: Inverse nodal problem for differential pencils
    Authors: Buterina, S. A.;Shieh, Chung-Tsun
    Contributors: 淡江大學數學學系
    Keywords: Differential pencils;Diffusion operator;Inverse nodal problems;Eigenvalues;Nodal points
    Date: 2009-08-01
    Issue Date: 2011-10-01 21:07:54 (UTC+8)
    Publisher: Kidlington: Pergamon
    Abstract: An inverse nodal problem is studied for the diffusion operator with real-valued coefficients on a finite interval with Dirichlet boundary conditions. The oscillation of the eigenfunctions corresponding to large modulus eigenvalues is established and an asymptotic of the nodal points is obtained. The uniqueness theorem is proved and a constructive procedure for solving the inverse problem is given.
    Relation: Applied Mathematics Letters 22(8), pp.1240-1247
    DOI: 10.1016/j.aml.2009.01.037
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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