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Matematicheskie Zametki, 2022, Volume 112, Issue 6, paper published in the English version journal (Mi mzm13833)  
Papers published in the English version of the journal

Spectral Expansion for Nonself-Adjoint Differential Operators with Periodic Matrix Coefficients

O. A. Veliev

Department of Mechanical Engineering, Dogus University, Istanbul, 34775 Turkey
Abstract: In this paper, we construct the spectral expansion for the nonself-adjoint differential operators generated in the space of vector functions by an ordinary differential expression of arbitrary order with periodic matrix coefficients, by using the essential spectral singularities, singular quasimomenta, and series with parenthesis.
Keywords: nonself-adjoint differential operator, spectral expansion, periodic matrix coefficients.
Received: 30.12.2021
Revised: 27.09.2022
English version:
Mathematical Notes, 2022, Volume 112, Issue 6, Pages 1025–1043
DOI: https://doi.org/10.1134/S0001434622110359
Bibliographic databases:
Document Type: Article
Language: English
Citation: O. A. Veliev, “Spectral Expansion for Nonself-Adjoint Differential Operators with Periodic Matrix Coefficients”, Math. Notes, 112:6 (2022), 1025–1043
Citation in format AMSBIB
\Bibitem{Vel22}
\by O.~A.~Veliev
\paper Spectral Expansion for Nonself-Adjoint Differential Operators
with Periodic Matrix Coefficients
\jour Math. Notes
\yr 2022
\vol 112
\issue 6
\pages 1025--1043
\mathnet{http://mi.mathnet.ru/mzm13833}
\crossref{https://doi.org/10.1134/S0001434622110359}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4529620}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85145396767}
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