Inverse spectral problems for the Sturm-Liouville operator with discontinuity

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• 作者：Xiao-Chuan Xu ; Chuan-Fu Yang ; ^{chuanfuyang@njust.edu.cn}
• 关键词：34B24 ; 47E05
• 刊名：Journal of Differential Equations
• 出版年：2017
• 出版时间：5 February 2017
• 年：2017
• 卷：262
• 期：3
• 页码：3093-3106
• 全文大小：275 K
• 卷排序：262

文摘

In this work, we consider the Sturm–Liouville operator on a finite interval [0,1][0,1] with discontinuous conditions at 1/2. We prove that if the potential is known a priori on a subinterval [b,1][b,1] with b≥1/2b≥1/2, then parts of two spectra can uniquely determine the potential and all parameters in discontinuous conditions and boundary conditions. For the case b<1/2b<1/2, parts of either one or two spectra can uniquely determine the potential and a part of parameters.