论文标题
Sturm-Liouville操作员在星形图上的光谱数据表征
Spectral data characterization for the Sturm-Liouville operator on the star-shaped graph
论文作者
论文摘要
研究了星形图上的Sturm-Liouville操作员的逆频谱问题，以及具有一般自相配形式边界条件的矩阵Sturm-Liouville操作员。我们为这两个逆问题获得了必要和充分的可溶性条件，也证明了它们的局部解决性和稳定性。
The inverse spectral problems are studied for the Sturm-Liouville operator on the star-shaped graph and for the matrix Sturm-Liouville operator with the boundary condition in the general self-adjoint form. We obtain necessary and sufficient conditions of solvability for these two inverse problems, and also prove their local solvability and stability.
