Regularization and Inverse Spectral Problems for Differential Operators with Distribution Coefficients

In this paper, we consider a class of matrix functions that contains regularization matrices Mirzoev and Shkalikov for differential operators with distribution coefficients order n≥2. We show every function is associated some expression. Moreover, construct the family fixed Furthermore, our results are applied to inverse spectral theory. study new type problems, which consist recovery from data independently matrix. The uniqueness theorems proved problems by Weyl–Yurko discrete data. As examples, cases n=2 n=4 in more detail.