An inverse problem for non-selfadjoint Sturm-Liouville operator with discontinuity conditions inside a finite interval
An inverse problem for non-selfadjoint Sturm-Liouville operator with discontinuity conditions inside a finite interval
复制标题
有限区间内不连续条件的非自伴Sturm-Liouville算子的反问题
DOI：
10.1080/17415977.2018.1470624
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发表时间：
2019
影响因子：
1.3
通讯作者：
Yan Jun
中科院分区：
文献类型：
--
作者：
Liu Yixuan;Shi Guoliang;Yan Jun
This paper is concerned with the inverse problem for non-selfadjoint Sturm–Liouville operator with discontinuity conditions inside a finite interval. Firstly, we give the definitions of generalized weight numbers for this operator which may have the multiple spectrum and then investigate the connections between the generalized weight numbers and other spectral characteristics. Secondly, we obtain the generalized spectral data, which consists of the generalized weight numbers and the spectrum. Then the operator is determined uniquely by the method of spectral mappings. Finally, we give an algorithm for reconstructing the potential function and the coefficients of the boundary conditions and the coefficients of the discontinuity conditions.
