论文标题
非自我匹配sturm-liouville操作员的局部解决性和稳定性
Local solvability and stability of the inverse problem for the non-self-adjoint Sturm-Liouville operator
论文作者
论文摘要
我们在有限的间隔内考虑非自身的sturm-liouville操作员。研究了逆光谱问题，其中包括从其特征值和广义重量数中恢复该操作员。我们证明了这个反问题的局部溶解性和稳定性，依赖于光谱映射的方法。可能考虑了多个特征值的分裂。
We consider the non-self-adjoint Sturm-Liouville operator on a finite interval. The inverse spectral problem is studied, which consists in recovering this operator from its eigenvalues and generalized weight numbers. We prove local solvability and stability of this inverse problem, relying on the method of spectral mappings. Possible splitting of multiple eigenvalues is taken into account.
