Linear differential operators with distribution coefficients of various singularity orders

Natalia P. Bondarenko

doi:10.1002/mma.8929

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arXiv · 2204.02052

Linear differential operators with distribution coefficients of various singularity orders

Natalia P. Bondarenko

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Abstract

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.

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BibTeX RIS

Natalia P. Bondarenko. 2022-04-05. Linear differential operators with distribution coefficients of various singularity orders. https://doi.org/10.1002/mma.8929

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