On the differential operators with periodic matrix coefficients

DOI10.1155/2009/934905zbMath1195.34134arXiv0903.0776OpenAlexW2165381296WikidataQ58646699 ScholiaQ58646699MaRDI QIDQ1035085

Oktay A. Veliev

Publication date: 10 November 2009

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.0776

zbMATH Keywords

spectral gapsasymptotic formulae for eigenvaluesquasiperiodic boundary conditions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (4)

On the spectrum of the differential operators of even order with periodic matrix coefficients ⋮ Spectral estimates for the fourth-order operator with matrix coefficients ⋮ On the basis property of the root functions of differential operators with matrix coefficients ⋮ On non-self-adjoint Sturm-Liouville operators in the space of vector functions

Cites Work

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• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• Operators commuting with translation by one. II: Differential operators with periodic coefficients in \(L_ p(-\infty,\infty)\)
• On Hill's operator with a matrix potential
• Spectral estimates for Schrodinger operators with periodic matrix potentials on the real line

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