Inverse spectral problems for non-local Sturm–Liouville operators
Inverse spectral problems for non-local Sturm–Liouville operators
复制标题
DOI：
10.1088/0266-5611/23/2/005
复制
发表时间：
2007-04
期刊：
影响因子：
2.1
通讯作者：
Sergio Albeverio;R. Hryniv;Leonid Nizhnik
中科院分区：
文献类型：
--
作者：
Sergio Albeverio;R. Hryniv;Leonid Nizhnik
我们解决了一类具有奇异非局部势和非局部边界条件的 Sturm–Liouville 算子的逆谱问题。我们研究该类的算子在多大程度上由其谱决定，并指出其中一个谱的重构问题具有唯一解的子类。
We solve the inverse spectral problem for a class of Sturm–Liouville operators with singular non-local potentials and non-local boundary conditions. We study to what extent the operator from that class is determined by its spectrum, and point out subclasses in which the reconstruction problem from one spectrum has a unique solution.