Sharp eigenvalue asymptotics of fourth-order differential operators

DOI10.3233/ASY-221760OpenAlexW4213249065MaRDI QIDQ5053987

Dmitry M. Polyakov

Publication date: 29 November 2022

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-221760

zbMATH Keywords

spectrumeigenvalue asymptoticstrace formulafourth-order differential operator

Mathematics Subject Classification ID

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) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (3)

Eigenvalue asymptotics and a trace formula for a fourth-order differential operator ⋮ The spectral properties of a two-term fourth-order operator with a spectral parameter in the boundary condition ⋮ Asymptotics of the eigenvalues of a two-term fourth-order operator with boundary conditions dependent on the spectral parameter

Cites Work

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• The Tamarkin equiconvergence theorem and a first-order trace formula for regular differential operators revisited
• Sharp eigenvalue asymptotics for fourth order operators on the circle
• Spectral properties of an even-order differential operator
• Spectral properties of fourth order differential operators with periodic and antiperiodic boundary conditions
• Trace formulas for fourth order operators on unit interval. II
• Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob
• Eigenvalue and eigenfunction asymptotics for regular Sturm-Liouville problems
• The spectral theory of the vibrating periodic beam
• Spectral estimates for the fourth-order operator with matrix coefficients
• Spectral analysis of a fourth-order nonselfadjoint operator with nonsmooth coefficients
• Asymptotics of the spectrum of nonsmooth perturbations of differential operators of order \(2m\)
• Trace formula for fourth order operators on the circle
• Spectral analysis of a fourth order differential operator with periodic and antiperiodic boundary conditions
• Spectral estimates for a periodic fourth-order operator
• Even Order Periodic Operators on the Real Line
• Traces of operators
• On the regularized trace of a fourth order regular differential equation
• An Inverse Eigenvalue Problem of Order Four—An Infinite Case
• Trace Formulas and the Behaviour of Large Eigenvalues
• Isospectral Sets for Fourth-Order Ordinary Differential Operators
• The periodic Euler-Bernoulli equation
• Uniform estimates for the semi-periodic eigenvalues of the singular differential operators
• Third-order operators with three-point conditions associated with Boussinesq's equation

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