论文标题
线性差分运算符具有各种奇异订单的分布系数
Linear differential operators with distribution coefficients of various singularity orders
论文作者
论文摘要
在本文中，考虑了$ n \ ge 2 $的线性差分表达，并考虑了各种奇异订单的分布系数。我们获得了该表达式正规化的相关矩阵。此外，我们介绍了逆光谱问题的新陈述，这些陈述包括在半线和有限间隔内从Weyl矩阵中恢复具有分布系数的差分运算符。这些反问题的唯一定理可以通过开发光谱映射的方法来证明。
In this paper, the linear differential expression of order $n \ge 2$ with distribution coefficients of various singularity orders is considered. We obtain the associated matrix for the regularization of this expression. Furthermore, we present the new statements of inverse spectral problems that consist in the recovery of differential operators with distribution coefficients from the Weyl matrix on the half-line and on a finite interval. The uniqueness theorems for these inverse problems are proved by developing the method of spectral mappings.
