Spectral properties of an even-order differential operator

DOI10.1134/S0012266116080176zbMath1353.47088OpenAlexW2519168306MaRDI QIDQ730404

Dmitry M. Polyakov

Publication date: 27 December 2016

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

Full work available at URL: https://doi.org/10.1134/s0012266116080176

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (7)

Sharp eigenvalue asymptotics of fourth-order differential operators ⋮ 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 ⋮ Spectral asymptotics and a trace formula for a fourth-order differential operator corresponding to thin film equation ⋮ Spectral analysis of an even order differential operator with square integrable potential ⋮ On the asymptotics of eigenvalues of a third-order differential operator ⋮ Equiconvergence of spectral decompositions for Sturm-Liouville operators: triples of Lebesgue spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Spectral properties of the Hill operator
• Accurate asymptotic formulas for eigenvalues and eigenfunctions of a boundary-value problem of fourth order
• On the nonself-adjoint ordinary differential operators with periodic boundary conditions
• Equiconvergence theorems for differential operators
• Method of similar operators in spectral analysis of a fourth-order nonself-adjoint operator
• Asymptotics of the spectrum of nonsmooth perturbations of differential operators of order \(2m\)
• Spectral analysis of a fourth order differential operator with periodic and antiperiodic boundary conditions
• Even Order Periodic Operators on the Real Line
• A THEOREM ON SPLITTING AN OPERATOR, AND SOME RELATED QUESTIONS IN THE ANALYTIC THEORY OF PERTURBATIONS
• 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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