Direct and Inverse Problems of Spectral Analysis for Arbitrary-Order Differential Operators with Nonintegrable Regular Singularities
- Authors: Yurko V.A.1
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Affiliations:
- Chernyshevskii Saratov National Research State University
- Issue: Vol 67, No 2 (2021): Dedicated to the memory of Professor N. D. Kopachevsky
- Pages: 408-421
- Section: Articles
- URL: https://journals.rudn.ru/CMFD/article/view/28872
- DOI: https://doi.org/10.22363/2413-3639-2021-67-2-408-421
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Abstract
A short review is presented of results on the spectral theory of arbitrary order ordinary differential operators with non-integrable regular singularities. We establish properties of spectral characteristics, prove theorems on completeness of root functions in the corresponding spaces, prove expansion and equiconvergence theorems, and provide a solution of the inverse spectral problem for this class of operators.
About the authors
V. A. Yurko
Chernyshevskii Saratov National Research State University
Author for correspondence.
Email: yurkova@info.sgu.ru
Saratov, Russia
References
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