论文标题
矩阵Sturm-Liouville操作员的逆光谱问题的建设性解决方案
Constructive solution of the inverse spectral problem for the matrix Sturm-Liouville operator
论文作者
论文摘要
在有限的间隔内，研究了矩阵sturm-liouville操作员的逆频谱问题，并具有一般的自我接合边界条件。我们根据考虑的逆问题的光谱映射方法获得了建设性解决方案。在无限基质序列的特殊BANACH空间中，非线性逆问题减小为线性方程。此外，我们将结果应用于星形图上的Sturm-Liouville操作员。
An inverse spectral problem is studied for the matrix Sturm-Liouville operator on a finite interval with the general self-adjoint boundary condition. We obtain a constructive solution based on the method of spectral mappings for the considered inverse problem. The nonlinear inverse problem is reduced to a linear equation in a special Banach space of infinite matrix sequences. In addition, we apply our results to the Sturm-Liouville operator on a star-shaped graph.
