Uniqueness of the potential function for the vectorial Sturm-Liouville equation on a finite interval

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題名:	Uniqueness of the potential function for the vectorial Sturm-Liouville equation on a finite interval
作者:	Chang, Tsorng-Hwa;Shieh, Chung-tsun
貢獻者:	淡江大學數學學系
關鍵詞:	Inverse spectral problems;Sturm-Liouville equation
日期:	2011-10-26
上傳時間:	2013-09-06 10:39:51 (UTC+8)
出版者:	Springer International Publishing
摘要:	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.
關聯:	Boundary Value Problems 2011(40)
DOI:	10.1186/1687-2770-2011-40
顯示於類別:	[數學學系暨研究所] 期刊論文

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