On inverse spectral problem for non-selfadjoint Sturm–Liouville operator on a finite interval
On inverse spectral problem for non-selfadjoint Sturm–Liouville operator on a finite interval
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DOI：
10.1016/j.jmaa.2007.02.012
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发表时间：
2007-11
影响因子：
1.3
通讯作者：
S. Buterin
中科院分区：
文献类型：
--
作者：
S. Buterin
研究了有限区间上非自伴Sturm-Liouville算子的谱逆问题，其谱具有任意性质。引入的谱数据推广了经典的离散谱数据，对应于自伴情况下谱函数的规定。研究了它与其它谱特征的关系，并证明了一个唯一性定理。给出了求解反问题的构造性步骤。
An inverse spectral problem is studied for a non-selfadjoint Sturm–Liouville operator on a finite interval with an arbitrary behavior of the spectrum. The spectral data introduced generalize the classical discrete spectral data corresponding to the specification of the spectral function in the selfadjoint case. The connection with other types of spectral characteristics is investigated and a uniqueness theorem is proved. A constructive procedure for solving the inverse problem is given.