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Applied Mathematics-A Journal of Chinese Universities  2018, Vol. 33 Issue (2): 225-    DOI: 10.1007/s11766-018-3533-9
    
Reconstruction of the Sturm-Liouville operator with discontinuities from a particular set of eigenvalues
XU Xiao-chuan ,  YANG Chuan-fu
Department of Applied Mathematics, School of Science, Nanjing University of Science and Technology, Nanjing 210094, China.
Reconstruction of the Sturm-Liouville operator with discontinuities from a particular set of eigenvalues
XU Xiao-chuan ,  YANG Chuan-fu
Department of Applied Mathematics, School of Science, Nanjing University of Science and Technology, Nanjing 210094, China.
 全文: PDF 
摘要： Sturm-Liouville operators on a finite interval with discontinuities are considered. We give a uniqueness theorem for determining the potential and the parameters in boundary and under discontinuous conditions from a particular set of eigenvalues, and provide corresponding reconstruction algorithm, which can be applicable to McLaughlin-Rundell's uniqueness theorem (see J. Math. Phys. 28, 1987).
关键词： Sturm-Liouville operator ;   ;  discontinuous condition ;  inverse spectral problem ;   reconstruction algorithm    
Abstract: Sturm-Liouville operators on a finite interval with discontinuities are considered. We give a uniqueness theorem for determining the potential and the parameters in boundary and under discontinuous conditions from a particular set of eigenvalues, and provide corresponding reconstruction algorithm, which can be applicable to McLaughlin-Rundell's uniqueness theorem (see J. Math. Phys. 28, 1987).
Key words: Sturm-Liouville operator         discontinuous condition    inverse spectral problem      reconstruction algorithm
出版日期: 2018-07-16
CLC:  34A55  
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XU Xiao-chuan
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引用本文:

XU Xiao-chuan, YANG Chuan-fu. Reconstruction of the Sturm-Liouville operator with discontinuities from a particular set of eigenvalues[J]. Applied Mathematics-A Journal of Chinese Universities, 2018, 33(2): 225-.

XU Xiao-chuan , YANG Chuan-fu. Reconstruction of the Sturm-Liouville operator with discontinuities from a particular set of eigenvalues. Applied Mathematics-A Journal of Chinese Universities, 2018, 33(2): 225-.

链接本文:

http://www.zjujournals.com/amjcub/CN/10.1007/s11766-018-3533-9    或    http://www.zjujournals.com/amjcub/CN/Y2018/V33/I2/225

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