Spectral estimates for the fourth-order differential operator with periodic coefficients

DOI10.3103/S1066369X22070064OpenAlexW4317460542MaRDI QIDQ2688303

Dmitry M. Polyakov

Publication date: 2 March 2023

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x22070064

zbMATH Keywords

fundamental matrixspectrumasymptotics of eigenvaluesfourth-order differential operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) 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 (1)

Spectral data asymptotics for the higher-order differential operators with distribution coefficients

Cites Work

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• Spectral properties of fourth order differential operators with periodic and antiperiodic boundary conditions
• Trace formulas for fourth order operators on unit interval. II
• Linear stability of steady states for thin film and Cahn-Hilliard type equations
• Spectral analysis of a fourth-order nonselfadjoint operator with nonsmooth coefficients
• 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
• An Inverse Eigenvalue Problem of Order Four
• Isospectral Sets for Fourth-Order Ordinary Differential Operators
• Asymptotics for the Spectrum of a Thin Film Equation in a Singular Limit
• Third-order operators with three-point conditions associated with Boussinesq's equation

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