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

淡江大學機構典藏 > 理學院 > 數學學系暨研究所 > 期刊論文 > Item 987654321/92145

jsp.display-item.identifier=請使用永久網址來引用或連結此文件: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/92145

题名:	Uniqueness of the potential function for the vectorial Sturm-Liouville equation on a finite interval
作者:	Chang, Tsorng-Hwa;Shieh, Chung-tsun
贡献者:	淡江大學數學學系
关键词:	Inverse spectral problems;Sturm-Liouville equation
日期:	2011-10-26
上传时间:	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
显示于类别:	[數學學系暨研究所] 期刊論文

文件中的档案:

档案	描述	大小	格式	浏览次数
1687-2770-2011-40.pdf		264Kb	Adobe PDF	240	检视/开启
index.html		0Kb	HTML	286	检视/开启

在機構典藏中所有的数据项都受到原著作权保护.

TAIR相关文章