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    Title: Uniqueness of the potential function for the vectorial Sturm-Liouville equation on a finite interval
    Authors: Chang, Tsorng-Hwa;Shieh, Chung-tsun
    Contributors: 淡江大學數學學系
    Keywords: Inverse spectral problems;Sturm-Liouville equation
    Date: 2011-10-26
    Issue Date: 2013-09-06 10:39:51 (UTC+8)
    Publisher: Springer International Publishing
    Abstract: In this paper, the vectorial Sturm-Liouville operator L Q =−d 2 dx 2 +Q(x) is considered, where Q(x) is an integrable m×m matrix-valued function defined on the interval [0,π] . The authors prove that m 2 +1 characteristic functions can determine the potential function of a vectorial Sturm-Liouville operator uniquely. In particular, if Q(x) is real symmetric, then m(m+1) 2 +1 characteristic functions can determine the potential function uniquely. Moreover, if only the spectral data of self-adjoint problems are considered, then m 2 +1 spectral data can determine Q(x) uniquely.
    Relation: Boundary Value Problems 2011(40)
    DOI: 10.1186/1687-2770-2011-40
    Appears in Collections:[數學學系暨研究所] 期刊論文

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