The spectrum of a self-adjoint differential operator with rapidly oscillating coefficients on the axis

DOI10.1070/SM2007v198n08ABEH003873zbMath1137.34039OpenAlexW2047411035MaRDI QIDQ5440020

Denis I. Borisov, Rustem R. Gadyl'shin

Publication date: 30 January 2008

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

Full work available at URL: https://doi.org/10.1070/sm2007v198n08abeh003873

zbMATH Keywords

asymptotic behaviour of the spectrumself-adjoint differential operator on the axis

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 (5)

Spectral asymptotics for the Schrödinger operator on the line with spreading and oscillating potentials ⋮ Oscillatory and Localized Perturbations of Periodic Structures and the Bifurcation of Defect Modes ⋮ On some properties of sinc approximations of continuous functions on the interval ⋮ Scattering and Localization Properties of Highly Oscillatory Potentials ⋮ Asymptotics of the eigenvalues of elliptic systems with fast oscillating coefficients

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