On the spectral properties of a second-order differential operator with a matrix potential

DOI10.1134/S0012266116050049zbMath1354.47032OpenAlexW2423493436MaRDI QIDQ311178

N. B. Uskova

Publication date: 29 September 2016

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266116050049

Mathematics Subject Classification ID

General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05)

Related Items (8)

The matrix analysis of spectral projections for the perturbed self-adjoint operators ⋮ Linear differential operator with an involution as a generator of an operator group ⋮ Method of similar operators in research of spectral properties of difference operators with growthing potential ⋮ Spectral analysis of differential operators with involution and operator groups ⋮ Fourier method for first order differential equations with involution and groups of operators ⋮ Asymptotics of eigenvalues of infinite block matrices ⋮ On the asymptotics of eigenvalues of a fourth-order differential operator with matrix coefficients ⋮ Spectral properties of first-order differential operators with an involution and groups of operators

Cites Work

• Methods of abstract harmonic analysis in the perturbation theory of linear operators
• Spectral analysis of differential operators with unbounded periodic coefficients
• Method of similar operators in spectral analysis of a fourth-order nonself-adjoint operator
• Spectral analysis of a fourth-order nonselfadjoint operator with nonsmooth coefficients
• On a result of R. Turner
• On non-self-adjoint Sturm-Liouville operators with matrix potentials
• Estimates for the Green's function and parameters of exponential dichotomy of a hyperbolic operator semigroup and linear relations
• SPECTRAL ANALYSIS OF PERTURBED NONQUASIANALYTIC AND SPECTRAL OPERATORS
• The method of similar operators in the spectral analysis of non-self-adjoint Dirac operators with non-smooth potentials
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