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Mat. Zametki, 2022 Volume 112, Issue 6, Pages 1025–1043 (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

Language: English


 English version:
Mathematical Notes, 2022, 112:6, 1025–1043

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© Steklov Math. Inst. of RAS, 2025