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- W4385696938 abstract "In this paper, we consider a class of matrix functions that contains regularization matrices of Mirzoev and Shkalikov for differential operators with distribution coefficients of order n≥2. We show that every matrix function of this class is associated with some differential expression. Moreover, we construct the family of associated matrices for a fixed differential expression. Furthermore, our regularization results are applied to inverse spectral theory. We study a new type of inverse spectral problems, which consist of the recovery of distribution coefficients from the spectral data independently of the associated matrix. The uniqueness theorems are proved for the inverse problems by the Weyl–Yurko matrix and by the discrete spectral data. As examples, we consider the cases n=2 and n=4 in more detail." @default.
- W4385696938 created "2023-08-10" @default.
- W4385696938 creator A5067453793 @default.
- W4385696938 date "2023-08-09" @default.
- W4385696938 modified "2023-10-14" @default.
- W4385696938 title "Regularization and Inverse Spectral Problems for Differential Operators with Distribution Coefficients" @default.
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- W4385696938 doi "https://doi.org/10.3390/math11163455" @default.
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