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.
Citation:
V. A. Yurko, “Direct and inverse problems of spectral analysis for arbitrary-order differential operators with nonintegrable regular singularities”, Dedicated to the memory of Professor N. D. Kopachevsky, CMFD, 67, no. 2, PFUR, M., 2021, 408–421
\Bibitem{Yur21}
\by V.~A.~Yurko
\paper Direct and inverse problems of spectral analysis for arbitrary-order differential operators with nonintegrable regular singularities
\inbook Dedicated to the memory of Professor N. D. Kopachevsky
\serial CMFD
\yr 2021
\vol 67
\issue 2
\pages 408--421
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd424}
\crossref{https://doi.org/10.22363/2413-3639-2021-67-2-408-421}
Linking options:
https://www.mathnet.ru/eng/cmfd424
https://www.mathnet.ru/eng/cmfd/v67/i2/p408
This publication is cited in the following 1 articles:
A. B. Antonevich, E. V. Kuzmina, “ON GENERALIZED SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS OF THE FIRST ORDER”, J Math Sci, 266:1 (2022), 26
Citation in format AMSBIB
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