教師資料查詢 | 類別: 期刊論文 | 教師: 謝忠村 Chung-tsun Shieh (瀏覽個人網頁)

標題:Uniqueness of the potential function for the vectorial Sturm-Liouville equation on a finite interval
學年100
學期1
出版(發表)日期2011/10/26
作品名稱Uniqueness of the potential function for the vectorial Sturm-Liouville equation on a finite interval
作品名稱(其他語言)
著者Chang, Tsorng-Hwa; Shieh, Chung-tsun
單位淡江大學數學學系
出版者Heidelberg: SpringerOpen
著錄名稱、卷期、頁數Boundary Value Problems 2011(40)
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.
關鍵字Inverse spectral problems;Sturm-Liouville equation
語言英文
ISSN1687-2770;1687-2762
期刊性質國外
收錄於SCI;EI;
產學合作國外;
通訊作者Shieh, Chung-tsun
審稿制度
國別德國
公開徵稿
出版型式,電子版,紙本
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